Properties of the Number 56080

Fifty-Six Thousand Eighty

Basics

Value: 56079 → 56080 → 56081

Parity: even

Prime: No

Previous Prime: 56053

Next Prime: 56081

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 5 × 701

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101101100010000

Octal: 155420

Duodecimal: 28554

Hexadecimal: db10

Square: 3144966400

Square Root: 236.81216184985095

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 ∏_k>=1 (1 - x^k * (k + x)). A336977

T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock nonsingular and the array of 2X2 subblock determinants symmetric about the diagonal and antidiagonal. A187670

G.f. A(x) satisfies A(x) = 1/(1 - x·A(x·A(x)³)³). A381615

Number of 3X3 0..n arrays with each 2X2 subblock nonsingular and the array of 2X2 subblock determinants symmetric about the diagonal and antidiagonal. A187671

Numbers k such that (14·10^k - 143)/3 is prime. A279050

Number of 5 X 5 binary matrices with n ones, with no zero rows or columns, up to row and column permutation. A56080

Number of nX3 0..2 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically. A207353