90401 (number)
90,401 (ninety thousand four hundred one) is an odd fivedigits prime number following 90400 and preceding 90402. In scientific notation, it is written as 9.0401 × 10^{4}. The sum of its digits is 14. It has a total of 1 prime factor and 2 positive divisors. There are 90,400 positive integers (up to 90401) that are relatively prime to 90401.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 14
 Digital Root 5
Name
Short name  90 thousand 401 

Full name  ninety thousand four hundred one 
Notation
Scientific notation  9.0401 × 10^{4} 

Engineering notation  90.401 × 10^{3} 
Prime Factorization of 90401
Prime Factorization 90401
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  90401  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  11.412010608266  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 90,401 is 90401. Since it has a total of 1 prime factor, 90,401 is a prime number.
Divisors of 90401
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  90402  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  45201  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  300.66759053812  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999778765957  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 90,401 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 90,401) is 90,402, the average is 45,201.
Other Arithmetic Functions (n = 90401)
φ(n)  Euler Totient  90400  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  90400  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 8746  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 90,400 positive integers (less than 90,401) that are coprime with 90,401. And there are approximately 8,746 prime numbers less than or equal to 90,401.
Divisibility of 90401
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  1  5  3  1  5 
90,401 is not divisible by any number less than or equal to 9.
Classification of 90401
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (90401)
Base  System  Value 

2  Binary  10110000100100001 
3  Ternary  11121000012 
4  Quaternary  112010201 
5  Quinary  10343101 
6  Senary  1534305 
8  Octal  260441 
10  Decimal  90401 
12  Duodecimal  44395 
16  Hexadecimal  16121 
20  Vigesimal  b601 
36  Base36  1xr5 
Basic calculations (n = 90401)
Multiplication
n×yn×2  180802 

n×3  271203 
n×4  361604 
n×5  452005 
Division
n÷yn÷2  45200.500 

n÷3  30133.666 
n÷4  22600.250 
n÷5  18080.200 
Exponentiation
n^{y}n^{2}  8172340801 

n^{3}  738787780751201 
n^{4}  66787154167689321601 
n^{5}  6037625523913282362052001 
Nth Root
^{y}√n^{2}√n  300.66759053812 

^{3}√n  44.880506019208 
^{4}√n  17.339769045121 
^{5}√n  9.80019341448 
90401 as geometric shapes
Circle
Radius = nDiameter  180802 

Circumference  568006.23495434 
Area  25674165823.054 
Sphere
Radius = nVolume  3.0946270194265E+15 

Surface area  102696663292.21 
Circumference  568006.23495434 
Square
Length = nPerimeter  361604 

Area  8172340801 
Diagonal  127846.32025209 
Cube
Length = nSurface area  49034044806 

Volume  738787780751201 
Space diagonal  156579.12505503 
Equilateral Triangle
Length = nPerimeter  271203 

Area  3538727371.025 
Altitude  78289.562527517 
Triangular Pyramid
Length = nSurface area  14154909484.1 

Volume  87066974937822 
Height  73812.107412447 
Cryptographic Hash Functions
md5  76f70638c32308107e81fce28b7c34ec 

sha1  6e7d7ad6b06b1c06574675b21be1df14dcf0dcad 
sha256  0f953064370f8b581110a9471d2d5c0749355a236e8c10258692146bcd5bfa98 
sha512  9407e4b5e5de0f1d0f72296ec4939363d89315401268a6ba6d5d26efedbd12abe307aa385a788f78dc89672a2cbe596fbb5b7637937950c12af02e50851a37cb 
ripemd160  1439993518fd76a0e260e2ae48b3de3171d2dbeb 