Properties of the Number 26780

Twenty-Six Thousand Seven Hundred Eighty

Basics

Value: 26779 → 26780 → 26781

Parity: even

Prime: No

Previous Prime: 26777

Next Prime: 26783

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 13 × 103

Divisors: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100010011100

Octal: 64234

Duodecimal: 135B8

Hexadecimal: 689c

Square: 717168400

Square Root: 163.6459593146131

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

Expansion of 1/(1 - x³ - x⁴ - x⁵ + x⁸)². A147851

Number of n X 4 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero. A298290

Expansion of g.f. = exp( ∑_n>=1 A066802(n)*xⁿ/n ). A381422

Triangular array T read by rows: T(n,0)=T(n,n)=1 for n >= 0; for n >= 2 and 1 <= k <= n-1, T(n,k) = T(n-1,k-1) + T(n-2,k-1) + T(n-1,k) if 1 <= k <= floor(n/2), else T(n,k) = T(n-1,k-1) + T(n-1,k). A26780

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero. A298294

T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A299388

G.f.: exp( ∑_n>=1 xⁿ/n·exp( ∑_k>=1 binomial(2·n*k,n·k)*x^n·k/k ) ). A205503