Properties of the Number -1536

Five Hundred Thirty-Six

Basics

Value: -1537 → -1536 → -1535

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁹ × 3

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11000000000

Octal: -3000

Duodecimal: -A80

Hexadecimal: -600

Square: 2359296

Square Root: 39.191835884530846

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

Expansion of (1-x²)/(1+2·x). A110164

Triangle T, read by rows, where matrix power T⁴ has powers of 4 in the secondary diagonal: [T⁴](n+1,n) = 4ⁿ⁺¹, with all 1's in the main diagonal and zeros elsewhere. A117254

Expansion of theta₄(q)²*theta₄(q²)⁴ in powers of q. A120030

Sequence related to the o.g.f.s. of the right hand columns of the EG1 triangle A162005. A162014

Determinant of the n X n matrix with (i,j)-entry equal to 1 or 0 according as i + j is squarefree or not. A228549

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

Expansion of q * ψ(q⁸) / φ(q) in powers of q where φ(), ψ() are Ramanujan θ functions. A208605

a(n) = n² * ∑_d∣n (-1)^{n/d + 1} * μ(d) / d². A338547

Number triangle (1/((1-x)(1-2x)),-x)-(x/((1-x)(1-2x)),-x²) (expressed in the notation of Riordan arrays). A115450