Properties of the Number -1440

Four Hundred Forty

Basics

Value: -1441 → -1440 → -1439

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 5

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10110100000

Octal: -2640

Duodecimal: -A00

Hexadecimal: -5a0

Square: 2073600

Square Root: 37.94733192202055

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 expansion of Eisenstein series E₂ (also called E₁ or G₂). A6352

Expansion of η(q)⁵ * η(q³) * η(q⁶)⁴ / η(q²)⁴ in powers of q. A214262

Triangle read by rows: terms T(n,k) of a binomial decomposition of n as Sum(k=0..n)T(n,k). A244133

Recurrence a(n+2) = ∑_k=0..n binomial(n,k)*a(k)*a(n+1-k) with a(0)=2, a(1)=-1. A289065

Signed triangle of D'Arcais numbers (A008298) : coefficients of r in the polynomials generated by the series coefficients of zⁿ in Product[(1-z^k)^r, {k,1,Inf}]*(n!). A78521

Expansion of q^-1/4 * η(q)⁸ * η(q⁴)² / η(q²)⁵ in powers of q. A244276

Coefficients of q-expansion of Eisenstein series G_5/2(τ) multiplied by 120. A306934

Expansion of (η(q)² * η(q⁴)⁴ / η(q²)³)² in powers of q. A138501

Expansion of (η(q²)⁹ / (η(q)² * η(q⁴)⁴))² in powers of q. A138504

E.g.f.: A(x,y) = LambertW(x·y*exp(x))/(x·y*exp(x)), as a triangle of coefficients T(n,k) = [xⁿ*y^k/n! ] A(x,y), read by rows. A161628