96401 (number)
96,401 (ninetysix thousand four hundred one) is an odd fivedigits prime number following 96400 and preceding 96402. In scientific notation, it is written as 9.6401 × 10^{4}. The sum of its digits is 20. It has a total of 1 prime factor and 2 positive divisors. There are 96,400 positive integers (up to 96401) that are relatively prime to 96401.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 20
 Digital Root 2
Name
Short name  96 thousand 401 

Full name  ninetysix thousand four hundred one 
Notation
Scientific notation  9.6401 × 10^{4} 

Engineering notation  96.401 × 10^{3} 
Prime Factorization of 96401
Prime Factorization 96401
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  96401  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  11.476271853989  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 96,401 is 96401. Since it has a total of 1 prime factor, 96,401 is a prime number.
Divisors of 96401
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  96402  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  48201  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  310.48510431259  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999792535425  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 96,401 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 96,401) is 96,402, the average is 48,201.
Other Arithmetic Functions (n = 96401)
φ(n)  Euler Totient  96400  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  96400  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9269  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 96,400 positive integers (less than 96,401) that are coprime with 96,401. And there are approximately 9,269 prime numbers less than or equal to 96,401.
Divisibility of 96401
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  1  5  4  1  2 
96,401 is not divisible by any number less than or equal to 9.
Classification of 96401
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (96401)
Base  System  Value 

2  Binary  10111100010010001 
3  Ternary  11220020102 
4  Quaternary  113202101 
5  Quinary  11041101 
6  Senary  2022145 
8  Octal  274221 
10  Decimal  96401 
12  Duodecimal  47955 
16  Hexadecimal  17891 
20  Vigesimal  c101 
36  Base36  22dt 
Basic calculations (n = 96401)
Multiplication
n×yn×2  192802 

n×3  289203 
n×4  385604 
n×5  482005 
Division
n÷yn÷2  48200.500 

n÷3  32133.666 
n÷4  24100.250 
n÷5  19280.200 
Exponentiation
n^{y}n^{2}  9293152801 

n^{3}  895869223169201 
n^{4}  86362688982734145601 
n^{5}  8325449580624554370082001 
Nth Root
^{y}√n^{2}√n  310.48510431259 

^{3}√n  45.852235362443 
^{4}√n  17.620587513264 
^{5}√n  9.9269608200962 
96401 as geometric shapes
Circle
Radius = nDiameter  192802 

Circumference  605705.34679742 
Area  29195300568.309 
Sphere
Radius = nVolume  3.7526082267807E+15 

Surface area  116781202273.24 
Circumference  605705.34679742 
Square
Length = nPerimeter  385604 

Area  9293152801 
Diagonal  136331.60162633 
Cube
Length = nSurface area  55758916806 

Volume  895869223169201 
Space diagonal  166971.42990045 
Equilateral Triangle
Length = nPerimeter  289203 

Area  4024053203.4583 
Altitude  83485.714950224 
Triangular Pyramid
Length = nSurface area  16096212813.833 

Volume  1.0557920045988E+14 
Height  78711.086898014 
Cryptographic Hash Functions
md5  87e00febf3b903f53a8d1387ed34c5b6 

sha1  054833ed4783ed5fa172fa11794a383e8e575f58 
sha256  eb3620ef3c0029186e522e2848e28460ddd788d7ac4e78ecf100a974eb7569b8 
sha512  746911f5d21d82b4997fcf259a76223e2a4d0786f34760c6de4d994277083c2874bab95063d6f51a7c40bd76f30e2058b77aac25f68b1480db84137f38dee15c 
ripemd160  0c45f1684f8bc37b5f0e5cff48c073e967b4e202 