Properties of the Number 32680

Thirty-Two Thousand Six Hundred Eighty

Basics

Value: 32679 → 32680 → 32681

Parity: even

Prime: No

Previous Prime: 32653

Next Prime: 32687

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 × 19 × 43

Divisors: 1, 2, 4, 5, 8, 10, 19, 20, 38, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111111110101000

Octal: 77650

Duodecimal: 16AB4

Hexadecimal: 7fa8

Square: 1067982400

Square Root: 180.77610461562668

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

a(n) = (n⁴ + n² + 2·n)/4. A6528

T(n, k) = ∑_{i=0, n} (∑_{j=0, k} C(i+j,i) * C(n-i+j,n-i) * C(i+k-j,k-j) * C(n-i+k-j,n-i)). A186753

G.f.: P(x,y) = ∏_n>=1 1/(1 - (xⁿ + yⁿ)), where P(x,y) = ∑_n>=0 ∑_k>=0 T(n,k) * xⁿ*y^k, as a square table of coefficients T(n,k) read by antidiagonals. A322210

Digit '8' concatenated with a(n) is a lucky number. A32680