Properties of the Number 81456

Eighty-One Thousand Four Hundred Fifty-Six

Basics

Value: 81455 → 81456 → 81457

Parity: even

Prime: No

Previous Prime: 81439

Next Prime: 81457

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 1697

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10011111000110000

Octal: 237060

Duodecimal: 3B180

Hexadecimal: 13e30

Square: 6635079936

Square Root: 285.40497542965153

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

T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal. A187705

Number of parts that are multiples of 3 in all partitions of n. A116635

a(n) = ∑_d∣n d^{n/d - d} * binomial(n/d,d). A376017

Number of (n+1) X (n+1) 0..3 arrays with each 2 X 2 subblock off diagonal and antidiagonal nonsingular and the array of 2 X 2 subblock determinants antisymmetric about the diagonal and antidiagonal. A187702

Number of 5X5 0..n arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal. A187708

Product of entries in n-th row of triangle in A081454. A81456