Properties of the Number 27456

Twenty-Seven Thousand Four Hundred Fifty-Six

Basics

Value: 27455 → 27456 → 27457

Parity: even

Prime: No

Previous Prime: 27449

Next Prime: 27457

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 11 × 13

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 13, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110101101000000

Octal: 65500

Duodecimal: 13A80

Hexadecimal: 6b40

Square: 753831936

Square Root: 165.69852141766384

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

The n-th n-gonal number: a(n) = n*(n² - 3·n + 4)/2. A60354

Number of partitions of n into parts 1/2, 3/4, 7/8, 15/16, etc. A2843

a(n) = 2ⁿ * C(n+1), where C(n) = A000108(n) Catalan numbers. A3645

Expansion of Jacobi form of weight 12 and index 1 for the Niemeier lattice of type E₈³ or D₁₆+E₈. A55747

a(n) = n·binomial(2·n-2, n-1). A37965

1/512 of 11th unsigned column of triangle A053120 (T-Chebyshev, rising powers, zeros omitted). A54334

Number T(n,k) of (binary) heaps of length n whose element set equals [k]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A373451

Triangle T(n,k) read by rows, T(n, k) = binomial(2·k, k)*binomial(n, k), 0<=k<=n. A98473

A square array of Motzkin related transforms, read by antidiagonals. A107267

Numbers that have exactly nine prime factors counted with multiplicity (A046312) whose digit reversal is different and also has 9 prime factors (with multiplicity). A109029