36720 (number)
36,720 (thirtysix thousand seven hundred twenty) is an even fivedigits composite number following 36719 and preceding 36721. In scientific notation, it is written as 3.672 × 10^{4}. The sum of its digits is 18. It has a total of 9 prime factors and 80 positive divisors. There are 9,216 positive integers (up to 36720) that are relatively prime to 36720.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 18
 Digital Root 9
Name
Short name  36 thousand 720 

Full name  thirtysix thousand seven hundred twenty 
Notation
Scientific notation  3.672 × 10^{4} 

Engineering notation  36.72 × 10^{3} 
Prime Factorization of 36720
Prime Factorization 2^{4} × 3^{3} × 5 × 17
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  9  Total number of prime factors 
rad(n)  Radical  510  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 36,720 is 2^{4} × 3^{3} × 5 × 17. Since it has a total of 9 prime factors, 36,720 is a composite number.
Divisors of 36720
80 divisors
τ(n)  Total Divisors  80  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  133920  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  97200  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  1674  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  191.62463307206  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  21.935483870968  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 36,720 can be divided by 80 positive divisors (out of which 64 are even, and 16 are odd). The sum of these divisors (counting 36,720) is 133,920, the average is 1,674.
Other Arithmetic Functions (n = 36720)
φ(n)  Euler Totient  9216  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  144  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3891  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 9,216 positive integers (less than 36,720) that are coprime with 36,720. And there are approximately 3,891 prime numbers less than or equal to 36,720.
Divisibility of 36720
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  5  0  0 
The number 36,720 is divisible by 2, 3, 4, 5, 6, 8 and 9.
Classification of 36720
By Arithmetic functions
 Arithmetic
 Refactorable
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (36720)
Base  System  Value 

2  Binary  1000111101110000 
3  Ternary  1212101000 
4  Quaternary  20331300 
5  Quinary  2133340 
6  Senary  442000 
8  Octal  107560 
10  Decimal  36720 
12  Duodecimal  19300 
16  Hexadecimal  8f70 
20  Vigesimal  4bg0 
36  Base36  sc0 
Basic calculations (n = 36720)
Multiplication
n×yn×2  73440 

n×3  110160 
n×4  146880 
n×5  183600 
Division
n÷yn÷2  18360.000 

n÷3  12240.000 
n÷4  9180.000 
n÷5  7344.000 
Exponentiation
n^{y}n^{2}  1348358400 

n^{3}  49511720448000 
n^{4}  1818070374850560000 
n^{5}  66759544164512563200000 
Nth Root
^{y}√n^{2}√n  191.62463307206 

^{3}√n  33.237949540527 
^{4}√n  13.84285494658 
^{5}√n  8.1842810458208 
36720 as geometric shapes
Circle
Radius = nDiameter  73440 

Circumference  230718.56447963 
Area  4235992843.8461 
Sphere
Radius = nVolume  2.073942096347E+14 

Surface area  16943971375.384 
Circumference  230718.56447963 
Square
Length = nPerimeter  146880 

Area  1348358400 
Diagonal  51929.92201034 
Cube
Length = nSurface area  8090150400 

Volume  49511720448000 
Space diagonal  63600.905653929 
Equilateral Triangle
Length = nPerimeter  110160 

Area  583856313.90307 
Altitude  31800.452826965 
Triangular Pyramid
Length = nSurface area  2335425255.6123 

Volume  5835012212832.2 
Height  29981.754451666 
Cryptographic Hash Functions
md5  bf90bc151725ec2111a693c0d7eb0858 

sha1  b47e4eb616ddaed7a7ed18f89ed1d1758eff2bcc 
sha256  a2b51ed3f520e045e1a8371667ef4071e1d8afb0679444684dcc3c5d9755ab07 
sha512  d96a5efb4f61658964640de7ba956831a95f496ba0a92befe8176f668ba73a49ee5db9eda66b7fdb71e7a34c71571e7ca0cfc01249828edf1cc8216483c6e658 
ripemd160  21fbb2533b6fd70b815de6209cc342ac5461381d 