Properties of the Number 89400

Eighty-Nine Thousand Four Hundred

Basics

Value: 89399 → 89400 → 89401

Parity: even

Prime: No

Previous Prime: 89399

Next Prime: 89413

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 ² × 149

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

2196 Try Today's Challenge

Representations

Binary: 10101110100111000

Octal: 256470

Duodecimal: 438A0

Hexadecimal: 15d38

Square: 7992360000

Square Root: 298.9983277545211

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

Numbers k such that s(k) = 3·k, where s(k) is the sum of divisors of k that have a square factor (A162296). A357493

G.f.: ∑_n>=0 (n+1) * xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺². A326285

a(n) = 144·n² - 24·n (n>=1). A305072

Number of permutations of [n] with no fixed points where the maximal displacement of an element equals two. A321048

Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302879

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302877

a(n) = m - A089398(2^m - n) for m>=n. A89400

Number of length n+3 0..6 arrays with no four elements in a row with pattern aabb (with a≠b) and new values 0..6 introduced in 0..6 order. A242582