102359 (number)
102,359 (one hundred two thousand three hundred fiftynine) is an odd sixdigits prime number following 102358 and preceding 102360. In scientific notation, it is written as 1.02359 × 10^{5}. The sum of its digits is 20. It has a total of 1 prime factor and 2 positive divisors. There are 102,358 positive integers (up to 102359) that are relatively prime to 102359.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 20
 Digital Root 2
Name
Short name  102 thousand 359 

Full name  one hundred two thousand three hundred fiftynine 
Notation
Scientific notation  1.02359 × 10^{5} 

Engineering notation  102.359 × 10^{3} 
Prime Factorization of 102359
Prime Factorization 102359
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  102359  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.536241520785  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 102,359 is 102359. Since it has a total of 1 prime factor, 102,359 is a prime number.
Divisors of 102359
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  102360  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  51180  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  319.93593108621  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999804611176  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 102,359 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 102,359) is 102,360, the average is 51,180.
Other Arithmetic Functions (n = 102359)
φ(n)  Euler Totient  102358  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  102358  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9768  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 102,358 positive integers (less than 102,359) that are coprime with 102,359. And there are approximately 9,768 prime numbers less than or equal to 102,359.
Divisibility of 102359
m  2  3  4  5  6  7  8  9 

n mod m  1  2  3  4  5  5  7  2 
102,359 is not divisible by any number less than or equal to 9.
Classification of 102359
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (102359)
Base  System  Value 

2  Binary  11000111111010111 
3  Ternary  12012102002 
4  Quaternary  120333113 
5  Quinary  11233414 
6  Senary  2105515 
8  Octal  307727 
10  Decimal  102359 
12  Duodecimal  4b29b 
16  Hexadecimal  18fd7 
20  Vigesimal  cfhj 
36  Base36  26zb 
Basic calculations (n = 102359)
Multiplication
n×yn×2  204718 

n×3  307077 
n×4  409436 
n×5  511795 
Division
n÷yn÷2  51179.500 

n÷3  34119.666 
n÷4  25589.750 
n÷5  20471.800 
Exponentiation
n^{y}n^{2}  10477364881 

n^{3}  1072452591854279 
n^{4}  109775174849612144161 
n^{5}  11236477122431449464175799 
Nth Root
^{y}√n^{2}√n  319.93593108621 

^{3}√n  46.778038981663 
^{4}√n  17.886752949773 
^{5}√n  10.046741008525 
102359 as geometric shapes
Circle
Radius = nDiameter  204718 

Circumference  643140.5648576 
Area  32915612539.129 
Sphere
Radius = nVolume  4.492278911857E+15 

Surface area  131662450156.52 
Circumference  643140.5648576 
Square
Length = nPerimeter  409436 

Area  10477364881 
Diagonal  144757.48603095 
Cube
Length = nSurface area  62864189286 

Volume  1072452591854279 
Space diagonal  177290.98861194 
Equilateral Triangle
Length = nPerimeter  307077 

Area  4536832075.8325 
Altitude  88645.494305971 
Triangular Pyramid
Length = nSurface area  18147328303.33 

Volume  1.2638975003354E+14 
Height  83575.773527181 
Cryptographic Hash Functions
md5  6e4bfc3d2f3086c237525a811ea70dce 

sha1  36a4aeeb7fb386e3bbeda82295091650baf5f59f 
sha256  dd3bdb7eb83012d1d8b2144e45d8e9d6607ea8b6a3c791dbba099d035c06d16b 
sha512  3e7528bb43eec04163937405fa2c865f3847122367a3933697c4cf1875ccf4880577b846fd6c1a04ba40453a43f392306e6836f8e8430e5f86c334a6c4b648f8 
ripemd160  441b6f02d6fac719a06c4f93fa6381e9a3595f8b 