Properties of the Number 11488

Eleven Thousand Four Hundred Eighty-Eight

Basics

Value: 11487 → 11488 → 11489

Parity: even

Prime: No

Previous Prime: 11483

Next Prime: 11489

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 359

Divisors: 1, 2, 4, 8, 16, 32, 359, 718, 1436, 2872

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110011100000

Octal: 26340

Duodecimal: 6794

Hexadecimal: 2ce0

Square: 131974144

Square Root: 107.1820880557941

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 elliptic modular function λ in powers of the nome q. A115977

Expansion of (theta₃(q) / theta₄(q) )⁴ in powers of q; also of 1 / (1 - λ(z)). A14972

Expansion of (φ(q²) / φ(-q))² in powers of q where φ() is a Ramanujan θ function. A131126

Least k with precisely n partitions k = x + y satisfying σ(k) = σ(x) + σ(y). A211224

Number of rooted planar binary unlabeled trees with n leaves and caterpillar index >= 4. A214201

Expansion of q * φ(q) * ψ(q⁸) / (φ(-q) * φ(q⁴)) in powers of q where φ(), ψ() are Ramanujan θ functions. A215348

Expansion of φ(q⁴) / φ(q) in powers of q where φ() is a Ramanujan θ function. A112128

Expansion of (theta₄(q) / theta₃(q))⁴ in powers of q. A128692

Expansion of φ(q⁴) / φ(-q) in powers of q where φ() is a Ramanujan θ function. A208933

Expansion of q * φ(-q) * ψ(q⁸) / (φ(q) * φ(q⁴)) in powers of q where φ(), ψ() are Ramanujan θ functions. A215349