Properties of the Number -4560

Five Hundred Sixty

Basics

Value: -4561 → -4560 → -4559

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 19

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

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000111010000

Octal: -10720

Duodecimal: -2780

Hexadecimal: -11d0

Square: 20793600

Square Root: 67.52777206453653

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

Expansion of ∏_{m >= 1} (1 + q^m)^-2. A22597

Coefficients in asymptotic expansion of sequence A052186. A256168

Expansion of (η(q) / η(q⁷))⁴ in powers of q. A30181

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 43", based on the 5-celled von Neumann neighborhood. A269879

E.g.f.: ∑_n>=0 log(1+x)ⁿ * (1-x)^2ⁿ / n!, an even function. A340937

Hexagonal numbers: a(n) = n*(2·n-1). A384

3 times pentagonal numbers: 3·n*(3·n-1)/2. A62741

a(n) = 3·n² + 6·n. A67725

Numbers that can be expressed as the difference of the squares of primes in just three distinct ways. A90782

a(n) = 2·n*(4·n - 1). A14635