Properties of the Number 86400

Eighty-Six Thousand Four Hundred

Basics

Value: 86399 → 86400 → 86401

Parity: even

Prime: No

Previous Prime: 86399

Next Prime: 86413

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ³ × 5 ²

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000110000000

Octal: 250600

Duodecimal: 42000

Hexadecimal: 15180

Square: 7464960000

Square Root: 293.9387691339814

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

a(n) = n!*(n+1)!. A10790

Multiply successively by 1,1,2,2,3,3,4,4,..., n >= 1, a(0) = 1. A10551

Highly powerful numbers: numbers with record value of the product of the exponents in prime factorization (A005361). A5934

Coefficients for the commutator for the logarithm of the derivative operator [log(D),xⁿ Dⁿ]=d[(xD)!/(xD-n)!]/d(xD) expanded in the operators :xD:^k. A238363

Products of distinct factorials. A58295

Smaller member of an infinitary amicable pair. A126169

Numbers n such that n! is a product of distinct factorials k!*l!*m!*... with k, l, m, etc. < n. A75082

Shifted lower triangular matrix A238363 with a main diagonal of ones. A238385

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order. A239537

Orthogonal polynomials with all zeros integers from 2·A000217. A129467