96416 (number)
96,416 (ninetysix thousand four hundred sixteen) is an even fivedigits composite number following 96415 and preceding 96417. In scientific notation, it is written as 9.6416 × 10^{4}. The sum of its digits is 26. It has a total of 7 prime factors and 24 positive divisors. There are 45,760 positive integers (up to 96416) that are relatively prime to 96416.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 26
 Digital Root 8
Name
Short name  96 thousand 416 

Full name  ninetysix thousand four hundred sixteen 
Notation
Scientific notation  9.6416 × 10^{4} 

Engineering notation  96.416 × 10^{3} 
Prime Factorization of 96416
Prime Factorization 2^{5} × 23 × 131
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  6026  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 96,416 is 2^{5} × 23 × 131. Since it has a total of 7 prime factors, 96,416 is a composite number.
Divisors of 96416
24 divisors
τ(n)  Total Divisors  24  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  199584  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  103168  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  8316  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  310.50925912121  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  11.594035594036  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 96,416 can be divided by 24 positive divisors (out of which 20 are even, and 4 are odd). The sum of these divisors (counting 96,416) is 199,584, the average is 8,316.
Other Arithmetic Functions (n = 96416)
φ(n)  Euler Totient  45760  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  11440  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9271  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 45,760 positive integers (less than 96,416) that are coprime with 96,416. And there are approximately 9,271 prime numbers less than or equal to 96,416.
Divisibility of 96416
m  2  3  4  5  6  7  8  9 

n mod m  0  2  0  1  2  5  0  8 
The number 96,416 is divisible by 2, 4 and 8.
Classification of 96416
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Practical
 Nonhypotenuse
Base conversion (96416)
Base  System  Value 

2  Binary  10111100010100000 
3  Ternary  11220020222 
4  Quaternary  113202200 
5  Quinary  11041131 
6  Senary  2022212 
8  Octal  274240 
10  Decimal  96416 
12  Duodecimal  47968 
16  Hexadecimal  178a0 
20  Vigesimal  c10g 
36  Base36  22e8 
Basic calculations (n = 96416)
Multiplication
n×yn×2  192832 

n×3  289248 
n×4  385664 
n×5  482080 
Division
n÷yn÷2  48208.000 

n÷3  32138.666 
n÷4  24104.000 
n÷5  19283.200 
Exponentiation
n^{y}n^{2}  9296045056 

n^{3}  896287480119296 
n^{4}  86416453683182043136 
n^{5}  8331928798317679871000576 
Nth Root
^{y}√n^{2}√n  310.50925912121 

^{3}√n  45.85461344241 
^{4}√n  17.621272914327 
^{5}√n  9.9272697279817 
96416 as geometric shapes
Circle
Radius = nDiameter  192832 

Circumference  605799.59457703 
Area  29204386855.369 
Sphere
Radius = nVolume  3.7543602173964E+15 

Surface area  116817547421.48 
Circumference  605799.59457703 
Square
Length = nPerimeter  385664 

Area  9296045056 
Diagonal  136352.81482976 
Cube
Length = nSurface area  55776270336 

Volume  896287480119296 
Space diagonal  166997.41066256 
Equilateral Triangle
Length = nPerimeter  289248 

Area  4025305586.6104 
Altitude  83498.70533128 
Triangular Pyramid
Length = nSurface area  16101222346.441 

Volume  1.0562849251416E+14 
Height  78723.334346728 
Cryptographic Hash Functions
md5  fee547a0966831d20f0253b8837254bb 

sha1  eb7af5edabc299324b711df73c7d4535829ac94c 
sha256  f6aa43ccc1c2cdb8c9f44afaef185b567bb147be578629d8eecf83b4994556dc 
sha512  17acd27c6ca7b1423cc9e219b511161ba6ed075dc910ba9fa1c38ade337581bea35575acba0913489b40397af3300291a7457d243b511dec2a3b7f9fc506cd3d 
ripemd160  3b40c7e09065190a7636ce8792f20e4a274a3ed0 