Properties of the Number 10640

Ten Thousand Six Hundred Forty

Basics

Value: 10639 → 10640 → 10641

Parity: even

Prime: No

Previous Prime: 10639

Next Prime: 10651

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 5 × 7 × 19

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 19

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110010000

Octal: 24620

Duodecimal: 61A8

Hexadecimal: 2990

Square: 113209600

Square Root: 103.15037566582102

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

Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function. A57731

Number of degree-n permutations of order exactly 6. A61121

If X₁, ..., X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 3-subsets of X containing none of X_i, (i=1,...,n). A130809

a(n) = ∑_{d∣n, n/d=1 mod 4} d³ - ∑_{d∣n, n/d=3 mod 4} d³. A50471

Number of free polyominoes (A000105) with perimeter 2n. A57730

Numbers of the form p⁴*q·r*s where p, q, r, and s are distinct primes. A179693

Lesser of amicable pair m < n defined by t(n) = m and t(m) = n where t(n) = ψ(n) - n and ψ(n) = A001615(n) is the Dedekind ψ function. A323329

a(n) = 7·n² + 14·n. A67727

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234890

Numbers k such that N = k⁶ is a twin rank (cf. A002822: 6N +- 1 are twin primes). A326236