Properties of the Number 85440

Eighty-Five Thousand Four Hundred Forty

Basics

Value: 85439 → 85440 → 85441

Parity: even

Prime: No

Previous Prime: 85439

Next Prime: 85447

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 5 × 89

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10100110111000000

Octal: 246700

Duodecimal: 41540

Hexadecimal: 14dc0

Square: 7299993600

Square Root: 292.30121450312174

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

Number of 3 X n binary matrices up to row and column permutations. A2727

a(n) = 4·n*(n² + 2)/3. A217873

a(n) = ∑_{k = 0..n} (-1)^n+k*k·binomial(n,k)*binomial(n+k,k)². A357558

Numbers k such that k' = concat(s,t) and k = s·t, where k' is the arithmetic derivative of k. A272780

Positive integers equal to the permanent of Hankel matrix formed by their decimal digits. A308126

Sum of the odd parts in the partitions of n into 6 parts. A309550

a(n) = ∑_i=1..n binomial(i+1,2)⁵. A85440

Number of 5Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically. A209652

Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 nX6 array. A218590