68964 (number)
68,964 (sixtyeight thousand nine hundred sixtyfour) is an even fivedigits composite number following 68963 and preceding 68965. In scientific notation, it is written as 6.8964 × 10^{4}. The sum of its digits is 33. It has a total of 5 prime factors and 24 positive divisors. There are 19,680 positive integers (up to 68964) that are relatively prime to 68964.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 33
 Digital Root 6
Name
Short name  68 thousand 964 

Full name  sixtyeight thousand nine hundred sixtyfour 
Notation
Scientific notation  6.8964 × 10^{4} 

Engineering notation  68.964 × 10^{3} 
Prime Factorization of 68964
Prime Factorization 2^{2} × 3 × 7 × 821
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  34482  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 68,964 is 2^{2} × 3 × 7 × 821. Since it has a total of 5 prime factors, 68,964 is a composite number.
Divisors of 68964
24 divisors
τ(n)  Total Divisors  24  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  184128  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  115164  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  7672  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  262.60997696203  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  8.9890510948905  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 68,964 can be divided by 24 positive divisors (out of which 16 are even, and 8 are odd). The sum of these divisors (counting 68,964) is 184,128, the average is 7,672.
Other Arithmetic Functions (n = 68964)
φ(n)  Euler Totient  19680  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  2460  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 6850  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 19,680 positive integers (less than 68,964) that are coprime with 68,964. And there are approximately 6,850 prime numbers less than or equal to 68,964.
Divisibility of 68964
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  4  0  0  4  6 
The number 68,964 is divisible by 2, 3, 4, 6 and 7.
Classification of 68964
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
Base conversion (68964)
Base  System  Value 

2  Binary  10000110101100100 
3  Ternary  10111121020 
4  Quaternary  100311210 
5  Quinary  4201324 
6  Senary  1251140 
8  Octal  206544 
10  Decimal  68964 
12  Duodecimal  33ab0 
16  Hexadecimal  10d64 
20  Vigesimal  8c84 
36  Base36  1h7o 
Basic calculations (n = 68964)
Multiplication
n×yn×2  137928 

n×3  206892 
n×4  275856 
n×5  344820 
Division
n÷yn÷2  34482.000 

n÷3  22988.000 
n÷4  17241.000 
n÷5  13792.800 
Exponentiation
n^{y}n^{2}  4756033296 

n^{3}  327995080225344 
n^{4}  22619852712660623616 
n^{5}  1559955522475927247053824 
Nth Root
^{y}√n^{2}√n  262.60997696203 

^{3}√n  41.008524897976 
^{4}√n  16.205245353343 
^{5}√n  9.2837724820926 
68964 as geometric shapes
Circle
Radius = nDiameter  137928 

Circumference  433313.59152433 
Area  14941519262.942 
Sphere
Radius = nVolume  1.373902579266E+15 

Surface area  59766077051.768 
Circumference  433313.59152433 
Square
Length = nPerimeter  275856 

Area  4756033296 
Diagonal  97529.824115498 
Cube
Length = nSurface area  28536199776 

Volume  327995080225344 
Space diagonal  119449.15189318 
Equilateral Triangle
Length = nPerimeter  206892 

Area  2059422827.7903 
Altitude  59724.57594659 
Triangular Pyramid
Length = nSurface area  8237691311.1613 

Volume  38654590903861 
Height  56308.8702071 
Cryptographic Hash Functions
md5  1d851a9861cc3139707b4a2c4a5de601 

sha1  126b47d741993585c011db8b16944a796bc80ba9 
sha256  fcf5f8ccff98013b1e1948cd9c081c9ee114e207719fd616c66469e9fd3fa11e 
sha512  60345a699171c5a2cbd5e5f4433d57f4e54a214e8e54e7ff0d1fb81620fd6c53b8c9757cddd2fde2a8cafde9b8cef8112ba09c98972e4f62a0628399e465019a 
ripemd160  a62b5ed7fb30f37f76061d82b7d5f595aa029e9b 