Properties of the Number -15400

Fifteen Thousand Four Hundred

Basics

Value: -15401 → -15400 → -15399

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 ² × 7 × 11

Divisors: 1, 2, 4, 5, 7, 8, 10, 11, 14, 20

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -11110000101000

Octal: -36050

Duodecimal: -8AB4

Hexadecimal: -3c28

Square: 237160000

Square Root: 124.09673645990857

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

Expansion of (ψ(-q) / f(q³))² in powers of q where ψ(), f() are Ramanujan θ functions. A262930

Expansion of χ(-q) * χ(q⁹) / (χ(q) * χ(-q⁹)) in powers of q where χ() is a Ramanujan θ function. A260215

Triangle read by rows. Numerators of the coefficients of a sequence of rational polynomials r_n(x) with r_n(1) = B(2·n), where B(n) are the Bernoulli numbers. A356652

Triangular table of coefficients of p in p^k+2/(1-p) LerchPhi(1-p,-1-k,(p-1)/p) as function of k=1..n. A308804

Number of partitions of { 1, 2, ..., 3n } into sets of size 3. A25035

Number of strict integer partitions of 2·n with no subset summing to n. A321142

Square array read by antidiagonals downwards: T(n,k) = (n·k)!/(k!ⁿ*n!), (n>=1, k>=1), the number of ways of dividing nk labeled items into n unlabeled boxes with k items in each box. A60540

Irregular triangle read by rows: coefficients C(j,k) of a partition transform for direct Lagrange inversion. A134685

Triangular numbers that are the product of two triangular numbers greater than 1. A188630

Number of subsets of {1..n} with a subset summing to n. A365376