105392 (number)
105,392 (one hundred five thousand three hundred ninetytwo) is an even sixdigits composite number following 105391 and preceding 105393. In scientific notation, it is written as 1.05392 × 10^{5}. The sum of its digits is 20. It has a total of 6 prime factors and 20 positive divisors. There are 45,120 positive integers (up to 105392) that are relatively prime to 105392.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 6
 Sum of Digits 20
 Digital Root 2
Name
Short name  105 thousand 392 

Full name  one hundred five thousand three hundred ninetytwo 
Notation
Scientific notation  1.05392 × 10^{5} 

Engineering notation  105.392 × 10^{3} 
Prime Factorization of 105392
Prime Factorization 2^{4} × 7 × 941
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  6  Total number of prime factors 
rad(n)  Radical  13174  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 105,392 is 2^{4} × 7 × 941. Since it has a total of 6 prime factors, 105,392 is a composite number.
Divisors of 105392
20 divisors
τ(n)  Total Divisors  20  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  233616  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  128224  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  11680.8  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  324.64134055909  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  9.0226696801589  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 105,392 can be divided by 20 positive divisors (out of which 16 are even, and 4 are odd). The sum of these divisors (counting 105,392) is 233,616, the average is 1,168,0.8.
Other Arithmetic Functions (n = 105392)
φ(n)  Euler Totient  45120  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  5640  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 10029  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 45,120 positive integers (less than 105,392) that are coprime with 105,392. And there are approximately 10,029 prime numbers less than or equal to 105,392.
Divisibility of 105392
m  2  3  4  5  6  7  8  9 

n mod m  0  2  0  2  2  0  0  2 
The number 105,392 is divisible by 2, 4, 7 and 8.
Classification of 105392
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
Other numbers
 Frugal
Base conversion (105392)
Base  System  Value 

2  Binary  11001101110110000 
3  Ternary  12100120102 
4  Quaternary  121232300 
5  Quinary  11333032 
6  Senary  2131532 
8  Octal  315660 
10  Decimal  105392 
12  Duodecimal  50ba8 
16  Hexadecimal  19bb0 
20  Vigesimal  d39c 
36  Base36  29bk 
Basic calculations (n = 105392)
Multiplication
n×yn×2  210784 

n×3  316176 
n×4  421568 
n×5  526960 
Division
n÷yn÷2  52696.000 

n÷3  35130.666 
n÷4  26348.000 
n÷5  21078.400 
Exponentiation
n^{y}n^{2}  11107473664 

n^{3}  1170638864396288 
n^{4}  123375971196453584896 
n^{5}  13002840356336636219359232 
Nth Root
^{y}√n^{2}√n  324.64134055909 

^{3}√n  47.235575974776 
^{4}√n  18.017806208279 
^{5}√n  10.105586625621 
105392 as geometric shapes
Circle
Radius = nDiameter  210784 

Circumference  662197.46589427 
Area  34895157662.765 
Sphere
Radius = nVolume  4.9035606085254E+15 

Surface area  139580630651.06 
Circumference  662197.46589427 
Square
Length = nPerimeter  421568 

Area  11107473664 
Diagonal  149046.79576563 
Cube
Length = nSurface area  66644841984 

Volume  1170638864396288 
Space diagonal  182544.2987113 
Equilateral Triangle
Length = nPerimeter  316176 

Area  4809677182.4453 
Altitude  91272.14935565 
Triangular Pyramid
Length = nSurface area  19238708729.781 

Volume  1.3796111322252E+14 
Height  86052.207657135 
Cryptographic Hash Functions
md5  c3080c58873bb6141adc7c97d48bc811 

sha1  c8cdd2c4e75ed7bd047fa603c406273f942461d4 
sha256  f6006a9fdc91734983a0bf0b269bf111d6a246e8580c6af1d78df51b6333658f 
sha512  40ad6e3421faf563576ea85c21232f86a8a611f1f549540cc29e643b7a2747e81a3a9a881d151b75c8a1e81424c01bce03b30c12f4f3da73ce0c2d24e521b02a 
ripemd160  98e5b309fd70d9b4bad2151180741fab4fb37d49 