Properties of the Number 13640

Thirteen Thousand Six Hundred Forty

Basics

Value: 13639 → 13640 → 13641

Parity: even

Prime: No

Previous Prime: 13633

Next Prime: 13649

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 5 × 11 × 31

Divisors: 1, 2, 4, 5, 8, 10, 11, 20, 22, 31

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101001000

Octal: 32510

Duodecimal: 7A88

Hexadecimal: 3548

Square: 186049600

Square Root: 116.79041056525146

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

p-INVERT of (1,1,1,1,1,...), where p(S) = 1 - S - S² - S³. A291000

Sum of 10 nonzero 8th powers. A3388

a(n) = floor(n*φ¹⁵), where φ is the golden ratio, A001622. A4930

Number of permutations of [1,2,...,n] with n-1 inversions. A707

T(n,k) = number of n-step one or two space at a time rook's tours on a k X k board summed over all starting positions. A187286

a(n) = ∑_k=1..n-1 k*σ(k)*σ(n-k). A441

Sum of smallest parts of all partitions of n into an even number of parts. A222045

a(n) = lcm(n, n+1, n+2, n+3)/12. A67047

Numbers n such that A324187(n) = 0. A324199

G.f. satisfies A(x) = exp( ∑_k>=1 (3 + A(x^k)) * x^k/k ). A363507