Properties of the Number -1520

Five Hundred Twenty

Basics

Value: -1521 → -1520 → -1519

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 5 × 19

Divisors: 1, 2, 4, 5, 8, 10, 16, 19, 20, 38

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10111110000

Octal: -2760

Duodecimal: -A68

Hexadecimal: -5f0

Square: 2310400

Square Root: 38.98717737923585

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

Reversion of g.f. for Fibonacci numbers 1, 1, 2, 3, 5, .... A7440

Excess of the number of even Motzkin n-paths (A107587) over the odd ones (A343386). A343773

G.f. A(x) satisfies: 2ⁿ - 1 = ∑_k=0..n [x^k]A(x)ⁿ and also satisfies: (2+z)ⁿ - (1+z)ⁿ + zⁿ = ∑_k=0..n [x^k](A(x)+z·x)ⁿ for all z, where [x^k]A(x)ⁿ denotes the coefficient of x^k in A(x)ⁿ. A100223

Coefficients of a special case of Poisson-Charlier polynomials. Triangle read by rows, T(n, k) for 0 <= k <= n. A137346

a(-1) = 1 and g.f. A(x) satisfies A(x) - 1/A(x) = 1/x - 1. A214649

a(n) = 4·a(n-1) - 6·a(n-2), with a(0)=0, a(1)=1. A190965

a(n) = 1 - n². A258837

G.f.: ∏_m>0 1/(1 + x^m + 2!*x^2·m). A293287

G.f.: 1 / (1 + ∑_k>=0 x^{2^k}). A339422

G.f.: ∑_n=-oo..+oo x^n² * C(x)^4·n-4, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A356778