Properties of the Number -205920

Two Hundred Five Thousand Nine Hundred Twenty

Basics

Value: -205921 → -205920 → -205919

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 5 × 11 × 13

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 11

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -110010010001100000

Octal: -622140

Duodecimal: -9B200

Hexadecimal: -32460

Square: 42403046400

Square Root: 453.7840896285369

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) by rows: coefficient [x^n-k] of 2ⁿ * n! *L(n,1/2,x), with L the generalized Laguerre polynomials in the Abramowitz-Stegun normalization. A98503

Triangle of derivatives of the Niven polynomials evaluated at 0. A303986

Triangle S(n, k) by rows: coefficients of 2^(n-1/2)*(x^1/2*d/dx)ⁿ when n is odd, and of 2^n/2*(x^1/2*d/dx)ⁿ when n is even. A223168

a(n+1) = a(n)/n if n∣a(n) else a(n)*n, a(1) = 1. A8336

Triangle S(n, k) by rows: coefficients of 2^(n-1/2)*(x^1/2*d/dx)ⁿ, where n = 1, 3, 5, ... A223523

a(n) = a(n-1) + 7·a(n-2), a(0)=0, a(1)=1. A15442

T(n,k) = 1/32 the number of (n+1) X (k+1) binary arrays with equal numbers of 2 X 2 subblocks with sum mod two being 0 and 1. A183772

a(n) = 4*(2n+1)!/n!². A2011

Number T(n,k) of 2n-length strings of balanced parentheses of exactly k different types; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A256061

Square array read by ascending antidiagonals: T(n,k) = [x^k] (1 - x)^2·k * Legendre_P(n·k-1, (1 + x)/(1 - x)) for n, k >= 0. A364513