36960 (number)
36,960 (thirtysix thousand nine hundred sixty) is an even fivedigits composite number following 36959 and preceding 36961. In scientific notation, it is written as 3.696 × 10^{4}. The sum of its digits is 24. It has a total of 9 prime factors and 96 positive divisors. There are 7,680 positive integers (up to 36960) that are relatively prime to 36960.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 24
 Digital Root 6
Name
Short name  36 thousand 960 

Full name  thirtysix thousand nine hundred sixty 
Notation
Scientific notation  3.696 × 10^{4} 

Engineering notation  36.96 × 10^{3} 
Prime Factorization of 36960
Prime Factorization 2^{5} × 3 × 5 × 7 × 11
Composite numberω(n)  Distinct Factors  5  Total number of distinct prime factors 

Ω(n)  Total Factors  9  Total number of prime factors 
rad(n)  Radical  2310  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 36,960 is 2^{5} × 3 × 5 × 7 × 11. Since it has a total of 9 prime factors, 36,960 is a composite number.
Divisors of 36960
96 divisors
τ(n)  Total Divisors  96  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  145152  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  108192  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  1512  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  192.24983745117  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  24.444444444444  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 36,960 can be divided by 96 positive divisors (out of which 80 are even, and 16 are odd). The sum of these divisors (counting 36,960) is 145,152, the average is 1,512.
Other Arithmetic Functions (n = 36960)
φ(n)  Euler Totient  7680  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  240  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3914  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 7,680 positive integers (less than 36,960) that are coprime with 36,960. And there are approximately 3,914 prime numbers less than or equal to 36,960.
Divisibility of 36960
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  0  0  6 
The number 36,960 is divisible by 2, 3, 4, 5, 6, 7 and 8.
Classification of 36960
By Arithmetic functions
 Arithmetic
 Refactorable
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (36960)
Base  System  Value 

2  Binary  1001000001100000 
3  Ternary  1212200220 
4  Quaternary  21001200 
5  Quinary  2140320 
6  Senary  443040 
8  Octal  110140 
10  Decimal  36960 
12  Duodecimal  19480 
16  Hexadecimal  9060 
20  Vigesimal  4c80 
36  Base36  sio 
Basic calculations (n = 36960)
Multiplication
n×yn×2  73920 

n×3  110880 
n×4  147840 
n×5  184800 
Division
n÷yn÷2  18480.000 

n÷3  12320.000 
n÷4  9240.000 
n÷5  7392.000 
Exponentiation
n^{y}n^{2}  1366041600 

n^{3}  50488897536000 
n^{4}  1866069652930560000 
n^{5}  68969934372313497600000 
Nth Root
^{y}√n^{2}√n  192.24983745117 

^{3}√n  33.310206179977 
^{4}√n  13.8654187622 
^{5}√n  8.1949515919119 
36960 as geometric shapes
Circle
Radius = nDiameter  73920 

Circumference  232226.52895336 
Area  4291546255.058 
Sphere
Radius = nVolume  2.1148739944926E+14 

Surface area  17166185020.232 
Circumference  232226.52895336 
Square
Length = nPerimeter  147840 

Area  1366041600 
Diagonal  52269.33326531 
Cube
Length = nSurface area  8196249600 

Volume  50488897536000 
Space diagonal  64016.597847746 
Equilateral Triangle
Length = nPerimeter  110880 

Area  591513364.11317 
Altitude  32008.298923873 
Triangular Pyramid
Length = nSurface area  2366053456.4527 

Volume  5950173637056.4 
Height  30177.713631089 
Cryptographic Hash Functions
md5  dc6e893527686cc9411aa13791a0c247 

sha1  74f7b5bdd0cd6624e20488d38795eab26eefe37b 
sha256  9e8fe8923e849ad9424399ba80e5848ab99cf5235f6c88351e474c7e923fc502 
sha512  c9a80cd02b728b76e731b3067f20b855c4967c6651581f7be3dee43b212c856908e792b1798e79495736630f624ae148aab1f0bd4af07c0babaeefd72d530654 
ripemd160  89b3044f445aef7edd8d1aac117d023e425c5a6c 