106320 (number)
106,320 (one hundred six thousand three hundred twenty) is an even sixdigits composite number following 106319 and preceding 106321. In scientific notation, it is written as 1.0632 × 10^{5}. The sum of its digits is 12. It has a total of 7 prime factors and 40 positive divisors. There are 28,288 positive integers (up to 106320) that are relatively prime to 106320.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 6
 Sum of Digits 12
 Digital Root 3
Name
Short name  106 thousand 320 

Full name  one hundred six thousand three hundred twenty 
Notation
Scientific notation  1.0632 × 10^{5} 

Engineering notation  106.32 × 10^{3} 
Prime Factorization of 106320
Prime Factorization 2^{4} × 3 × 5 × 443
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  13290  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 106,320 is 2^{4} × 3 × 5 × 443. Since it has a total of 7 prime factors, 106,320 is a composite number.
Divisors of 106320
40 divisors
τ(n)  Total Divisors  40  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  330336  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  224016  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  8258.4  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  326.06747767908  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  12.874164487068  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 106,320 can be divided by 40 positive divisors (out of which 32 are even, and 8 are odd). The sum of these divisors (counting 106,320) is 330,336, the average is 825,8.4.
Other Arithmetic Functions (n = 106320)
φ(n)  Euler Totient  28288  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  1768  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 10109  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 28,288 positive integers (less than 106,320) that are coprime with 106,320. And there are approximately 10,109 prime numbers less than or equal to 106,320.
Divisibility of 106320
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  4  0  3 
The number 106,320 is divisible by 2, 3, 4, 5, 6 and 8.
Classification of 106320
By Arithmetic functions
 Refactorable
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (106320)
Base  System  Value 

2  Binary  11001111101010000 
3  Ternary  12101211210 
4  Quaternary  121331100 
5  Quinary  11400240 
6  Senary  2140120 
8  Octal  317520 
10  Decimal  106320 
12  Duodecimal  51640 
16  Hexadecimal  19f50 
20  Vigesimal  d5g0 
36  Base36  2a1c 
Basic calculations (n = 106320)
Multiplication
n×yn×2  212640 

n×3  318960 
n×4  425280 
n×5  531600 
Division
n÷yn÷2  53160.000 

n÷3  35440.000 
n÷4  26580.000 
n÷5  21264.000 
Exponentiation
n^{y}n^{2}  11303942400 

n^{3}  1201835155968000 
n^{4}  127779113782517760000 
n^{5}  13585475377357288243200000 
Nth Root
^{y}√n^{2}√n  326.06747767908 

^{3}√n  47.373810952629 
^{4}√n  18.05733861008 
^{5}√n  10.123320661842 
106320 as geometric shapes
Circle
Radius = nDiameter  212640 

Circumference  668028.26185933 
Area  35512382400.442 
Sphere
Radius = nVolume  5.0342353290867E+15 

Surface area  142049529601.77 
Circumference  668028.26185933 
Square
Length = nPerimeter  425280 

Area  11303942400 
Diagonal  150359.18595151 
Cube
Length = nSurface area  67823654400 

Volume  1201835155968000 
Space diagonal  184151.64186072 
Equilateral Triangle
Length = nPerimeter  318960 

Area  4894750640.658 
Altitude  92075.820930362 
Triangular Pyramid
Length = nSurface area  19579002562.632 

Volume  1.4163763144223E+14 
Height  86809.916484236 
Cryptographic Hash Functions
md5  1a62f786dd0d34f2f92f6f9eca868c8e 

sha1  ac47593c9db6be65a5918b3a986249eb2970b895 
sha256  4e7d6a65c51b2d1e3fcd8b464f9f02ddf329819aba864931e50c1c0de4ae3dd2 
sha512  f72de9321ab87771353e50cdea0b05f7f9625310d55a127743c53e97398cc417d0f89c28f34f6bf6be0bf843b05d1e4725cb3434197266cd10d65f4fc4b69be5 
ripemd160  410f5fc9ed302a1375cbb892cb4afd3258878a30 