Properties of the Number -6400

Four Hundred

Basics

Value: -6401 → -6400 → -6399

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁸ × 5 ²

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1100100000000

Octal: -14400

Duodecimal: -3854

Hexadecimal: -1900

Square: 40960000

Square Root: 80

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

Triangle read by rows: coefficients T(n,k) of a binomial decomposition of nⁿ as Sum(k=0..n)T(n,k)*binomial(n,k). A244134

Expansion of e.g.f. exp(-x * (exp(2·x) + 1)). A356815

a(1) = 1; a(n) = n² * ∑_{d∣n, d < n} (-1)^n/d a(d) / d². A361987

Expansion of (1-16·x)/(1-20·x+80·x²). A99841

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of gcd(i,j) (A003989). A204025

a(n) = Glaisher's function β(2n+1). A322032

Determinant of the n X n matrix whose element (i,j) equals |i-j| (mod 4). A71769

Triangle read by rows of coefficients of Chebyshev-like polynomials P_n,2(x) with 0 omitted (exponents in increasing order). A136388

Alternating sum of centered 25-gonal numbers. A270693

Even squares: a(n) = (2·n)². A16742