Properties of the Number 40032

Forty Thousand Thirty-Two

Basics

Value: 40031 → 40032 → 40033

Parity: even

Prime: No

Previous Prime: 40031

Next Prime: 40037

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 139

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110001100000

Octal: 116140

Duodecimal: 1B200

Hexadecimal: 9c60

Square: 1602561024

Square Root: 200.0799840063968

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 length n+3 0..k arrays with no four consecutive terms having the maximum of any two terms equal to the minimum of the remaining two terms. A250387

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order. A206215

Sizes of successive increasing gaps between 3-smooth numbers. A84788

Riordan array (1, x·g(x)) where g(x) is g.f. of double factorials A001147. A111106

McKay-Thompson series of class 12H for the Monster group with a(0) = 4. A187091

Expansion of (1/q) * ((χ(q³) * χ(-q⁶)) / (χ(q) * χ(-q²)))⁴ in powers of q where χ() is a Ramanujan θ function. A193522

Expansion of ∑_k>=0 x^k * ∏_j=0..k-1 (j - 2·x). A353254

Numbers k such that k and k+1 are both terms in A377209. A377271

McKay-Thompson series of class 12H for Monster. A58486

Expansion of (b(q) / b(q²))³ in powers of q where b() is a cubic AGM θ function. A128642