Properties of the Number -18432

Eighteen Thousand Four Hundred Thirty-Two

Basics

Value: -18433 → -18432 → -18431

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ¹¹ × 3 ²

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100100000000000

Octal: -44000

Duodecimal: -A800

Hexadecimal: -4800

Square: 339738624

Square Root: 135.7645019878171

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

a(n) = determinant(P·Q)/n! where P, Q are n X n matrices with P[i,j]=lcm(i,j), Q[i,j]=gcd(i,j). A60239

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

For any composite number n with more than a single prime factor, take the polynomial defined by the product of the terms (x-π)^ei, where π are the prime factors of n with multiplicities ei. Integrate this polynomial from the minimum to the maximum value of π. This sequence lists the values of the integrals that are integer. A245435

Low-temperature specific heat expansion for hexagonal lattice (Potts model, q=4). A57388

A triangular sequence of coefficients of a partition two types polynomials; of Chebyshev of the first kind polynomials (A053120) and Hermite polynomials (A060821): p(x,n) = T(x,n)*H(x,n). A137456

A triangle of coefficients from Hermite polynomials A060821 as {x,y},{y,z},{z,x} binomials reduced to x: f(x,y,n)=Sum[Coefficients(H(x,n))(i)*xⁱ*y^n-1,{i,0,n}]; p(x,y,z)=f(x,y,n)+f(y,z,n)+f(z,x,n). A139583

a(n) = 9·2ⁿ. A5010

Product of totient function: a(n) = ∏_k=1..n φ(k) (cf. A000010). A1088

Products of superprimorials (A006939). A181818

Numbers that are the sum of 9 positive 11th powers. A4820