Properties of the Number 36568

Thirty-Six Thousand Five Hundred Sixty-Eight

Basics

Value: 36567 → 36568 → 36569

Parity: even

Prime: No

Previous Prime: 36563

Next Prime: 36571

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 7 × 653

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 653, 1306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111011011000

Octal: 107330

Duodecimal: 191B4

Hexadecimal: 8ed8

Square: 1337218624

Square Root: 191.22761306882435

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = n*(5·n² - 2)/3. A4466

Expansion of (2/(3·sqrt(1-4·z)-1+4·z))*((1-sqrt(1-4·z))/(2·z))^k with k=5. A172062

Number of integer partitions of n that are not pairwise coprime, where a singleton is not coprime unless it is (1). A335240

Expansion of ∏_m>=1 (1-m·q^m)^-14. A22738

9th binomial transform of the periodic sequence (1,10,1,1,10,1...). A81036

Number of LEGO towers, one piece per floor, where every floor is perpendicular to the one below it (so we have a kind of 3-dimensional zigzag pattern). A82679

a(n)=numerator of the probability that (x-y)/(x+y)+(y-z)/(y+z)+(z-u)/(z+u)+ (u-x)/(u+x)>0, assuming that each random quadruple of integers (x,y,z,u), with a<=x,y,z,u<=n, is equally likely. A106199

Number of 0..3 arrays of length n with each element differing from at least one neighbor by 1 or less, starting with 0. A221678

Number of length 4+1 0..n arrays with the sum of the cubes of adjacent differences multiplied by some arrangement of +-1 equal to zero. A250231

Number of length 2+2 0..n arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero. A251429