Properties of the Number -35560

Thirty-Five Thousand Five Hundred Sixty

Basics

Value: -35561 → -35560 → -35559

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 × 7 × 127

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000101011101000

Octal: -105350

Duodecimal: -186B4

Hexadecimal: -8ae8

Square: 1264513600

Square Root: 188.57359306117067

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

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235017

a(n) = ∑_k=1..n floor(n/(2·k-1))^k. A350147

McKay-Thompson series of class 34A for Monster. A58638

Numerator of the mean of all parts of all partitions of n. A236360

Expansion of (1-9·x²-27·x³)/((1+3·x+9·x²)*(1-4·x-9·x²-9·x³+81·x⁴)). A129452

Number of (n+1) X (2+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235011

Expansion of ∑_i>=1 μ(i)²*xⁱ/(1 - xⁱ) * ∏_j=1..i 1/(1 - μ(j)²*x^j), where μ() is the Moebius function (A008683). A284835

Triangular array read by rows: T(n,k) is the number of partial functions on [n] with exactly k connected components, n>=0, 0<=k<=n. A349950