Properties of the Number 32640

Thirty-Two Thousand Six Hundred Forty

Basics

Value: 32639 → 32640 → 32641

Parity: even

Prime: No

Previous Prime: 32633

Next Prime: 32647

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁷ × 3 × 5 × 17

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

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111111110000000

Octal: 77600

Duodecimal: 16A80

Hexadecimal: 7f80

Square: 1065369600

Square Root: 180.66543665017943

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 2n-bead balanced binary necklaces of fundamental period 2n, equivalent to reversed complement; also Dirichlet convolution of b_n=2^n-1 with μ(n); also number of components of Mandelbrot set corresponding to Julia sets with an attractive n-cycle. A740

a(n) = 2^n-1*(2ⁿ - 1), n >= 0. A6516

Triangle read by rows, T(n,k) = binomial(n,k)*A000111(n-k), 0 <= k <= n. A109449

a(n) = 4·a(n-1) - 6·a(n-2) + 4·a(n-3), n > 3, with a(0)=a(1)=a(2)=0, a(3)=1. A749

a(n) = n² * (n² - 1)/2. A83374

Square array A(n,k), n>=1, k>=1, read by antidiagonals: A(n,k) is the number of n-colorings of the k X k X k triangular grid. A182797

G.f.: 1/((1-2·x)*(1-2·x²)). A122746

a(n) = denominator of Bernoulli(2n)/(2n). A6953

Sum of every 4th entry of row n in Pascal's triangle, starting at binomial(n,2). A38505

Denominator of B_2n/(-4n), where B_m are the Bernoulli numbers. A6863