Properties of the Number 65640

Sixty-Five Thousand Six Hundred Forty

Basics

Value: 65639 → 65640 → 65641

Parity: even

Prime: No

Previous Prime: 65633

Next Prime: 65647

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 547

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000001101000

Octal: 200150

Duodecimal: 31BA0

Hexadecimal: 10068

Square: 4308609600

Square Root: 256.20304447839806

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

a(n) = n³ + n² + n. A27444

Self-convolution of 1 2 3 5 7 11 15 22 30 42 56 77 ... (A000041). A48574

T(n,k)=1/81 the number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor. A183819

Expansion of (1-x)^-1/(1 - 2·x - x² + x³). A77850

Triangle read by rows: (1/4) * (A007318³ - A007318^-1) as infinite lower triangular matrices. A131049

Number of partitions of 2n whose Ferrers-Young diagram allows more than one different domino tiling. A52837

Number of 4 X n 0-1 matrices avoiding simultaneously the right angled numbered polyomino patterns (ranpp) (00;1), (01;0), (10;0) and (01;1). A100316

a(n) = 4024·7ⁿ/147 - 256/3 (n >= 2). A304829

Number of permutations of 1..n+4 with the number moved left exceeding the number moved right by n or more. A179579

1/81 the number of (n+1) X 3 0..2 arrays with no 2 X 2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor. A183813