66853 (number)
66,853 (sixtysix thousand eight hundred fiftythree) is an odd fivedigits prime number following 66852 and preceding 66854. In scientific notation, it is written as 6.6853 × 10^{4}. The sum of its digits is 28. It has a total of 1 prime factor and 2 positive divisors. There are 66,852 positive integers (up to 66853) that are relatively prime to 66853.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 28
 Digital Root 1
Name
Short name  66 thousand 853 

Full name  sixtysix thousand eight hundred fiftythree 
Notation
Scientific notation  6.6853 × 10^{4} 

Engineering notation  66.853 × 10^{3} 
Prime Factorization of 66853
Prime Factorization 66853
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  66853  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  1  Returns:

Λ(n)  Mangoldt function  11.110251458113  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 66,853 is 66853. Since it has a total of 1 prime factor, 66,853 is a prime number.
Divisors of 66853
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  66854  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  33427  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  258.5594709153  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999700840638  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 66,853 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 66,853) is 66,854, the average is 33,427.
Other Arithmetic Functions (n = 66853)
φ(n)  Euler Totient  66852  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  66852  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 6661  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 66,852 positive integers (less than 66,853) that are coprime with 66,853. And there are approximately 6,661 prime numbers less than or equal to 66,853.
Divisibility of 66853
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  3  1  3  5  1 
66,853 is not divisible by any number less than or equal to 9.
Classification of 66853
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (66853)
Base  System  Value 

2  Binary  10000010100100101 
3  Ternary  10101201001 
4  Quaternary  100110211 
5  Quinary  4114403 
6  Senary  1233301 
8  Octal  202445 
10  Decimal  66853 
12  Duodecimal  32831 
16  Hexadecimal  10525 
20  Vigesimal  872d 
36  Base36  1fl1 
Basic calculations (n = 66853)
Multiplication
n×yn×2  133706 

n×3  200559 
n×4  267412 
n×5  334265 
Division
n÷yn÷2  33426.500 

n÷3  22284.333 
n÷4  16713.250 
n÷5  13370.600 
Exponentiation
n^{y}n^{2}  4469323609 

n^{3}  298787691232477 
n^{4}  19974853521964784881 
n^{5}  1335378882503911763649493 
Nth Root
^{y}√n^{2}√n  258.5594709153 

^{3}√n  40.585755394979 
^{4}√n  16.079784541943 
^{5}√n  9.2262279448638 
66853 as geometric shapes
Circle
Radius = nDiameter  133706 

Circumference  420049.78734088 
Area  14040794216.55 
Sphere
Radius = nVolume  1.2515589543453E+15 

Surface area  56163176866.199 
Circumference  420049.78734088 
Square
Length = nPerimeter  267412 

Area  4469323609 
Diagonal  94544.419285329 
Cube
Length = nSurface area  26815941654 

Volume  298787691232477 
Space diagonal  115792.7926384 
Equilateral Triangle
Length = nPerimeter  200559 

Area  1935273891.5638 
Altitude  57896.396319201 
Triangular Pyramid
Length = nSurface area  7741095566.2551 

Volume  35212467100926 
Height  54585.245924761 
Cryptographic Hash Functions
md5  f80682d220ff315147c8553b540ab381 

sha1  7e6f39fd7760dd6fbb66cf887b1574f48bbb00dc 
sha256  c67af6e5c22748330e1f63cbc13b96e4e20df2ef8620e1228277c1f95b84f34a 
sha512  ec03a7c0f70516a223b8a9e50f9e9562825ade92657a1cfd5b4dd140959edd68235bcc22b2eae18ab7a495919e50b29125fc678a77324b893493033fb87ef486 
ripemd160  11119833972b8ce3d1aee9fbce4fce3c965e58ab 