Properties of the Number 27640

Twenty-Seven Thousand Six Hundred Forty

Basics

Value: 27639 → 27640 → 27641

Parity: even

Prime: No

Previous Prime: 27631

Next Prime: 27647

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 5 × 691

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 691, 1382

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101111111000

Octal: 65770

Duodecimal: 13BB4

Hexadecimal: 6bf8

Square: 763969600

Square Root: 166.25281952496326

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

Absolute discriminants of complex quadratic fields with 3-class group of elementary abelian type (3,3) of rank 2. A242863

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) and Hilbert 3-class field tower of exact length 3, except for the cases mentioned in the COMMENTS. A242878

Number of partitions of n into 10 or more distinct parts. A347577

Number of partitions p of n that include (min(p) + max(p))/2 as a part. A238480

Number of basis partitions of n+81 with Durfee square size 9. A69252

Number of partitions of n with nine parts in which no part occurs more than twice. A320597

Number of (3+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252387

Inverse binomial transform of the Apéry numbers (A005259). A322519

a(n) = ∑_i+j<=m+1 t_i * t_j, where t₁ < ... < t_m are the totatives of n. A341063

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, 0), (1, -1, 0), (1, 0, -1)}. A148134