Properties of the Number 36027

Thirty-Six Thousand Twenty-Seven

Basics

Value: 36026 → 36027 → 36028

Parity: odd

Prime: No

Previous Prime: 36017

Next Prime: 36037

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 4003

Divisors: 1, 3, 9, 4003, 12009, 36027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010111011

Octal: 106273

Duodecimal: 18A23

Hexadecimal: 8cbb

Square: 1297944729

Square Root: 189.80779752159816

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

Number of integer partitions of n whose first differences are not all distinct. A389919

a(n) = ∑_k=0..n hypergeometric([-k, k + 1], [-k - 1], n - k). A323207

Sum of first n Honaker primes. A276255

Expansion of e.g.f. 1/(1 - arctanh(2·x))^1/2. A385472

Expansion of 1 / ((1-x)³ - x⁴)². A392587

Numbers k such that the number of primes between k and 2k (inclusive) is equal to the number of primes between k and reverse(k) (inclusive). A74814

Number of partitions of n into parts not of form 4k+2, 20k, 20k+7 or 20k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even. A36027