90408 (number)
90,408 (ninety thousand four hundred eight) is an even fivedigits composite number following 90407 and preceding 90409. In scientific notation, it is written as 9.0408 × 10^{4}. The sum of its digits is 21. It has a total of 5 prime factors and 16 positive divisors. There are 30,128 positive integers (up to 90408) that are relatively prime to 90408.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 21
 Digital Root 3
Name
Short name  90 thousand 408 

Full name  ninety thousand four hundred eight 
Notation
Scientific notation  9.0408 × 10^{4} 

Engineering notation  90.408 × 10^{3} 
Prime Factorization of 90408
Prime Factorization 2^{3} × 3 × 3767
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  22602  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  0  Returns:

Λ(n)  Mangoldt function  0  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 90,408 is 2^{3} × 3 × 3767. Since it has a total of 5 prime factors, 90,408 is a composite number.
Divisors of 90408
16 divisors
τ(n)  Total Divisors  16  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  226080  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  135672  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  14130  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  300.67923107524  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  6.3983014861996  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 90,408 can be divided by 16 positive divisors (out of which 12 are even, and 4 are odd). The sum of these divisors (counting 90,408) is 226,080, the average is 14,130.
Other Arithmetic Functions (n = 90408)
φ(n)  Euler Totient  30128  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  7532  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 8747  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 30,128 positive integers (less than 90,408) that are coprime with 90,408. And there are approximately 8,747 prime numbers less than or equal to 90,408.
Divisibility of 90408
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  3  0  3  0  3 
The number 90,408 is divisible by 2, 3, 4, 6 and 8.
Classification of 90408
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Nonhypotenuse
Base conversion (90408)
Base  System  Value 

2  Binary  10110000100101000 
3  Ternary  11121000110 
4  Quaternary  112010220 
5  Quinary  10343113 
6  Senary  1534320 
8  Octal  260450 
10  Decimal  90408 
12  Duodecimal  443a0 
16  Hexadecimal  16128 
20  Vigesimal  b608 
36  Base36  1xrc 
Basic calculations (n = 90408)
Multiplication
n×yn×2  180816 

n×3  271224 
n×4  361632 
n×5  452040 
Division
n÷yn÷2  45204.000 

n÷3  30136.000 
n÷4  22602.000 
n÷5  18081.600 
Exponentiation
n^{y}n^{2}  8173606464 

n^{3}  738959413197312 
n^{4}  66807842628342583296 
n^{5}  6039963436343196270624768 
Nth Root
^{y}√n^{2}√n  300.67923107524 

^{3}√n  44.881664396636 
^{4}√n  17.340104701969 
^{5}√n  9.8003451810074 
90408 as geometric shapes
Circle
Radius = nDiameter  180816 

Circumference  568050.21725149 
Area  25678142020.636 
Sphere
Radius = nVolume  3.0953459517356E+15 

Surface area  102712568082.55 
Circumference  568050.21725149 
Square
Length = nPerimeter  361632 

Area  8173606464 
Diagonal  127856.21974703 
Cube
Length = nSurface area  49041638784 

Volume  738959413197312 
Space diagonal  156591.24941069 
Equilateral Triangle
Length = nPerimeter  271224 

Area  3539275419.1803 
Altitude  78295.624705344 
Triangular Pyramid
Length = nSurface area  14157101676.721 

Volume  87087202015575 
Height  73817.822888514 
Cryptographic Hash Functions
md5  168126c20faea22c732b35ff228b9f1f 

sha1  49edb093e8c5b8a912ea72ef7c5f76f269f04a74 
sha256  64d82a668a9d80641aa2df634391daae23dcc4da817061f38f4f23aad33a86bf 
sha512  a25847a2f459cb5cdc59164e99ba30cbf1f76e679d779495a4d00a16bb52ac98d6252f1b7a208f9cd2e2b40f9298dac2eb06511436faf5cc9a7f88322a1974cc 
ripemd160  ee6bf4ed0972bdac4e2c2e57dc4d7c967525f4b2 