Properties of the Number -57600

Fifty-Seven Thousand Six Hundred

Basics

Value: -57601 → -57600 → -57599

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁸ × 3 ² × 5 ²

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1110000100000000

Octal: -160400

Duodecimal: -29400

Hexadecimal: -e100

Square: 3317760000

Square Root: 240

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = 9/5. A279781

Triangle read by rows, based on the two-variable g.f. exp(x·t)*(x*(1 - 2·exp(x)) - 2·exp(x))/(1 - exp(t)) (the second of two parts). A176295

Triangle T(n, k) = H(n, k+1) - 2·H(n, k) - H(n, k-1), where H(n, k) = A060821(n+3, k), read by rows. A140873

Triangle read by rows, coefficients of polynomials in π², given by trigonometric double integrals over the unit square. A336239

Triangular sequence based on the coefficients of the magnetic model for q=1/2: p(x,t)=Exp[x·t]*((t² + 1/2 - 1)/(2·t + 1/2 - 2))². A137481

A triangular sequence of three back recursive polynomial that are Hermite H(x,n) like and alternating orthogonal on domain {-Infinity,Infinity} and weight function Exp[ -x²/2]: P(x, n) = 2·x*P(x, n - 1) - n·P(x, n - 2) + 4·x³*P(x, n - 3). A138090

A triangular sequence of four back recursive polynomial that are Hermite H(x,n) like and alternating orthogonal on domain {-Infinity,Infinity} and weight function Exp[ -x²/2]: P(x, n) = 2·x*P(x, n - 1) - n·P(x, n - 2) + 4·x³*P(x, n - 3)-n²*P(x, n - 4). A138092

Triangle read by rows, T(n, k) = [x^k](∑_k=0..n(-1)^n-k*Stirling2(n, k)*k!* x^k)², for 0 <= k <= 2n. A290696

12-almost primes (generalization of semiprimes). A69273

Number of ways to place a non-attacking white and black rook on n X n chessboard. A35287