Properties of the Number -1540

Five Hundred Forty

Basics

Value: -1541 → -1540 → -1539

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 7 × 11

Divisors: 1, 2, 4, 5, 7, 10, 11, 14, 20, 22

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: -11000000100

Octal: -3004

Duodecimal: -A84

Hexadecimal: -604

Square: 2371600

Square Root: 39.242833740697165

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 ∑_k>0 x^4·k/(1+x^k)⁴. A363616

Expansion of ∏_k>=1 (1 - x^k)¹¹. A10819

a(n) = [xⁿ] 1/(1 + x + x² + x³)ⁿ. A350406

Expansion of (∏_j>=1 (1-(-x)^j) - 1)²² in powers of x. A47647

Triangle of coefficients of generalized Bernoulli polynomials associated with a Dirichlet character modulus 8. A151751

Triangle T(n,k) which contains 8·n!*2^floor((n+1)/2) times the coefficient [tⁿ x^k] exp(t·x)/(7 + exp(4·t)) in row n, column k. A171684

Triangle read by rows: T(n,k) (0 <= k <= n) gives numerators of coefficients in Nörlund's polynomials D_2n(x). A260327

Triangle read by rows: T(0,0)=1; for n>=1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n band matrix with main diagonal 2,3,3,..., subdiagonal -3,-3,-3,..., sub-subdiagonal 1,1,1,... and superdiagonal -1,-1,-1,... (0<=k<=n). A124019

The n-th derivative of exp(2·arctan(x) - π/2), evaluated at x=1. A189772

Sequence arising from study of multiplicative complexity of symmetric functions over a field with characteristic p. A250109