Properties of the Number 36030

Thirty-Six Thousand Thirty

Basics

Value: 36029 → 36030 → 36031

Parity: even

Prime: No

Previous Prime: 36017

Next Prime: 36037

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 1201

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 1201, 2402

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010111110

Octal: 106276

Duodecimal: 18A26

Hexadecimal: 8cbe

Square: 1298160900

Square Root: 189.81570008826984

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

Third differences of fifth powers (A000584). A101096

a(n) = ∑_d∣n (-1)^n/d+1*d⁴. A284900

a(n) = ∑_{d >= 1, d divides n} (-1)^n-d*d⁴. A279395

Expansion of ∏_k>=1 1 / (1 - x^k)^{4^(k-1}). A343349

a(n) = 60·n² + 180·n + 150. A69477

Number of pairs (p,q) of partitions of n into distinct parts such that p majorizes q in the dominance order. A265506

Expansion of a(q)² * (c(q)/3)³ in powers of q where a(), c() are cubic AGM θ functions. A266288

Number of partitions of n into parts not of form 4k+2, 24k, 24k+3 or 24k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even. A36030