Properties of the Number -12870

Twelve Thousand Eight Hundred Seventy

Basics

Value: -12871 → -12870 → -12869

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 11 × 13

Divisors: 1, 2, 3, 5, 6, 9, 10, 11, 13, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11001001000110

Octal: -31106

Duodecimal: -7546

Hexadecimal: -3246

Square: 165636900

Square Root: 113.44602240713422

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

Coefficient triangle for certain polynomials N(2; n,x) (rising powers of x). A62991

Triangle read by rows: T(n, k) = (-1)^k+1*binomial(n,k)*binomial(n+k,k) (n >= k >= 0). A331430

Expansion of g.f. A(x,y) satisfying 0 = ∑_n=-oo..+oo xⁿ * A(x,y)ⁿ * (y - x^n-1)ⁿ⁺¹, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y), read by rows n >= 0. A366730

Triangle read by rows: T(n, k) = (-1)^{n + 1}*L(n) * M(n, k) where M is the inverse of the matrix generated by the triangle A368846 and L(n) is the lcm of the denominators of the terms in the n-th row of M. A369134

Triangle read by rows: T(n, k) = (-1)^{n + k}*2·binomial(2·k - 1, n)* binomial(2·n + 1, 2·k) for k > 0, and kⁿ for k = 0. A368846

Irregular triangle read by rows: T(n,m) = coefficients in a power/Fourier series expansion of an arbitrary anharmonic oscillator's exact phase space trajectory. A276738

G.f. is the real part of the function C(x) that satisfies C(x) = 1 + x/C(I·x). A193382

G.f. is the imaginary part of the function C(x) that satisfies: C(x) = 1 + x/C(I·x). A193383

G.f.: (1-16·x+28·x²+56·x³-140·x⁴+56·x⁵+28·x⁶-16·x⁷+x⁸)/(x²-x+1)⁸. A112403

Regular triangle, coefficients of the polynomial P(n)(x) = (-1)ⁿ⁺¹*(2·n+1)*binomial(2·n, n)*∑_i=0..n xⁱ*binomial(n, i)/(n+i+1). A327809