36541 (number)
36,541 (thirtysix thousand five hundred fortyone) is an odd fivedigits prime number following 36540 and preceding 36542. In scientific notation, it is written as 3.6541 × 10^{4}. The sum of its digits is 19. It has a total of 1 prime factor and 2 positive divisors. There are 36,540 positive integers (up to 36541) that are relatively prime to 36541.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 19
 Digital Root 1
Name
Short name  36 thousand 541 

Full name  thirtysix thousand five hundred fortyone 
Notation
Scientific notation  3.6541 × 10^{4} 

Engineering notation  36.541 × 10^{3} 
Prime Factorization of 36541
Prime Factorization 36541
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  36541  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  10.506190196826  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 36,541 is 36541. Since it has a total of 1 prime factor, 36,541 is a prime number.
Divisors of 36541
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  36542  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  18271  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  191.15700353374  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999452684582  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 36,541 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 36,541) is 36,542, the average is 18,271.
Other Arithmetic Functions (n = 36541)
φ(n)  Euler Totient  36540  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  36540  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3874  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 36,540 positive integers (less than 36,541) that are coprime with 36,541. And there are approximately 3,874 prime numbers less than or equal to 36,541.
Divisibility of 36541
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  1  5  1 
36,541 is not divisible by any number less than or equal to 9.
Classification of 36541
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (36541)
Base  System  Value 

2  Binary  1000111010111101 
3  Ternary  1212010101 
4  Quaternary  20322331 
5  Quinary  2132131 
6  Senary  441101 
8  Octal  107275 
10  Decimal  36541 
12  Duodecimal  19191 
16  Hexadecimal  8ebd 
20  Vigesimal  4b71 
36  Base36  s71 
Basic calculations (n = 36541)
Multiplication
n×yn×2  73082 

n×3  109623 
n×4  146164 
n×5  182705 
Division
n÷yn÷2  18270.500 

n÷3  12180.333 
n÷4  9135.250 
n÷5  7308.200 
Exponentiation
n^{y}n^{2}  1335244681 

n^{3}  48791175888421 
n^{4}  1782878358138791761 
n^{5}  65148158084749589738701 
Nth Root
^{y}√n^{2}√n  191.15700353374 

^{3}√n  33.183852892169 
^{4}√n  13.825953982773 
^{5}√n  8.1762862132799 
36541 as geometric shapes
Circle
Radius = nDiameter  73082 

Circumference  229593.87430965 
Area  4194794880.5744 
Sphere
Radius = nVolume  2.0437599964143E+14 

Surface area  16779179522.298 
Circumference  229593.87430965 
Square
Length = nPerimeter  146164 

Area  1335244681 
Diagonal  51676.777782675 
Cube
Length = nSurface area  8011468086 

Volume  48791175888421 
Space diagonal  63290.868559374 
Equilateral Triangle
Length = nPerimeter  109623 

Area  578177907.00702 
Altitude  31645.434279687 
Triangular Pyramid
Length = nSurface area  2312711628.0281 

Volume  5750095222128 
Height  29835.60156368 
Cryptographic Hash Functions
md5  ac0db55377f43933972de43f2133f44c 

sha1  ef7cb82400669e36b7c8961d7c9a76ec6f407382 
sha256  741faeb1e64d1053209997c6676e844354a8c81a219a571f427cde7ea39fdbe4 
sha512  1941ba119e99146ebd73ebfa651c718eb9593d252f612adc0db385a7d2fe8870a06105a00937dbb607520cd0b63de09e761aefaeed744e764b080f4df3a4684e 
ripemd160  b0e4e7314ea16bdc173941b8c1dad1788594b45d 