Properties of the Number -1040

Forty

Basics

Value: -1041 → -1040 → -1039

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 5 × 13

Divisors: 1, 2, 4, 5, 8, 10, 13, 16, 20, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10000010000

Octal: -2020

Duodecimal: -728

Hexadecimal: -410

Square: 1081600

Square Root: 32.2490309931942

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

Express the ∑_n>=0 p(n)*xⁿ, where p(n) is the partition function, as a product ∏_k>=1 (1 + a(k)*x^k). A220420

E.g.f. A = A(x,y) satisfies: A² + B² + C² = 1 + y² and A³ + B³ + C³ = 1 + y³, where functions B = B(x,y) and C = C(x,y) are described by A278886 and A278887, respectively. A278885

Sum of the inverse permutation of EKG-sequence, A064664, and its Dirichlet inverse, A323411. A323412

Start with 1, add the next number if one gets a prime then add the next number else subtract the next... A74170

G.f. A(x) satisfies: A(x) = 1 - x·A(x/(1 - x)) / (1 - x)³. A346053

Expansion of ∏_k>0 (1 - x^k)^4·k. A316463

Expansion of ∑_k>0 k·x^k/(1 + x^k)³. A364343

Expansion of log(1+tan(x)*x)/2. A24236

Expansion of g.f. ∏_n>=1 (1-xⁿ)*(1-x^5·n)/(1-x^3·n)². A54274

Expansion of (1-x)^-1/(1+x-2·x²-x³). A77897