Properties of the Number -70560

Seventy Thousand Five Hundred Sixty

Basics

Value: -70561 → -70560 → -70559

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 5 × 7 ²

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10001001110100000

Octal: -211640

Duodecimal: -34A00

Hexadecimal: -113a0

Square: 4978713600

Square Root: 265.63132345414385

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

Triangle T(n,k) read by rows: coefficients of a polynomial sequence occurring when calculating the n-th derivative of Lambert function W. A42977

Triangle of coefficients of n!*(1 - x)ⁿ*L_n(x/(1 - x)), where L_n(x) is the Laguerre polynomial. A123202

arcsinh(exp(x)-cos(x))=x+2/2!*x²-12/4!*x⁴-60/5!*x⁵+32/6!*x⁶... A13316

Triangular sequence of coefficients from the Laplace transform of a Bernoulli expansion function: LaplaceTransform[t·Exp[x·t]/(Exp[t] - 1), t, 1/t] =ζ[2,1+1/t-x] -> shifted to ζ[3,1+1/t-x]. A137497

A triangular sequence from an expansion of coefficients of the function: p(x,t)=Exp(x·g*(t))*(1-f(t)²);f(t)=1/Sqrt[1 - 14·t⁴ + t⁸];g(t)=t. (Based on the Weierstrass functions of Schwarz's minimal surface which is identified with a cube.) A137522

Triangular sequence from coefficients of an expansion of a Rankine-Hugoniot relation function for density in terms of thermodynamic γ as t and pressure ratio as x: p(x,t)=((t + 1)/(t - 1) + x)/(1 + (t + 1)*x/(t - 1)). A137778

Factorial splitting: write n! = x·y*z with x<y<z and·maximal; sequence gives value of x. A61030

Triangular array read by rows: row n shows the coefficients of the polynomial p(x,n) constructed as in Comments; these polynomials form a strong divisibility sequence. A327320

a(n) = 2·n*n!. A52582

Expansion of e.g.f. x*(1-2·x)*(1 - 2·x - sqrt(1-4·x))/2 - x³. A52721