Properties of the Number 27610

Twenty-Seven Thousand Six Hundred Ten

Basics

Value: 27609 → 27610 → 27611

Parity: even

Prime: No

Previous Prime: 27583

Next Prime: 27611

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 11 × 251

Divisors: 1, 2, 5, 10, 11, 22, 55, 110, 251, 502

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101111011010

Octal: 65732

Duodecimal: 13B8A

Hexadecimal: 6bda

Square: 762312100

Square Root: 166.16257099599778

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

Triangle read by rows. Number T(n, k) of partitions of the multiset [1, 1, 2, 2, ..., n, n] into k nonempty submultisets, for 1 <= k <= 2n. A358710

Sum of all parts of all partitions of n minus the number of partitions of n. A182724

Number of partitions of n with difference -1 between the number of odd parts and the number of even parts, both counted without multiplicity. A242691

Number of 4 X n 0..1 arrays avoiding 0 0 1 and 1 0 1 horizontally and 0 1 0 and 1 0 1 vertically. A207255

Number of subsets of {1,...,n} containing n and having at least one set partition into 5 blocks with equal element sum. A248114

a(n) = binomial(n,2)*(2^n-2 - n + 1). A342404

a(n) = 32·n² - 40·n + 10. A343578

The number of Apollonian networks (planar 3-trees) with n+3 vertices. A27610