Properties of the Number -1530

Five Hundred Thirty

Basics

Value: -1531 → -1530 → -1529

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 17

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 17, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -10111111010

Octal: -2772

Duodecimal: -A76

Hexadecimal: -5fa

Square: 2340900

Square Root: 39.11521443121589

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 (∏_j>=1 (1-(-x)^j) - 1)¹⁰ in powers of x. A1488

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹¹ in powers of x. A47649

Expansion of η(q)⁹ / η(q³)³ in powers of q. A109041

Triangle read by rows: Riordan array (1/(1-9x)^2/3, x/(9x-1)). A283151

Binomial transform of reflected pentanacci numbers A074062: a(n) = ∑_k=0..n binomial(n,k)*A074062(k). A74825

Triangular array read by rows: row n shows the coefficients of this polynomial of degree n: (1/n!)*(numerator of n-th derivative of 1)/(1-x-2x²). A328650

Coefficient of x^2·n in (-1 + ∏_k>=1 (1 - x^k))ⁿ. A341263

E.g.f. A(x) satisfies [x^k] A(x)^n*(n+1/2+1) = 0 for k = n*(n-1)/2+2 through k = n*(n+1)/2+1 for n >= 1, with a(0) = a(1) = 1. A377105

Number of strict integer partitions of n such that some part can be written as a nonnegative linear combination of the others. A364839

The number of n-full sets, F(n). A188431