Properties of the Number 36868

Thirty-Six Thousand Eight Hundred Sixty-Eight

Basics

Value: 36867 → 36868 → 36869

Parity: even

Prime: No

Previous Prime: 36857

Next Prime: 36871

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 13 × 709

Divisors: 1, 2, 4, 13, 26, 52, 709, 1418, 2836, 9217

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000000000100

Octal: 110004

Duodecimal: 19404

Hexadecimal: 9004

Square: 1359249424

Square Root: 192.01041638411183

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

Row sums of triangle A137639. A137640

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 96. A31774

Number of n X 7 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 0 vertically. A207304

Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 0 vertically. A207308

a(n) = 2ⁿ*(n - 3) + 4. A291526

Number of odd Ulam numbers <= 10ⁿ. A382860

Number of partitions satisfying cn(0,5) + cn(2,5) < cn(1,5) + cn(4,5) and cn(0,5) + cn(3,5) < cn(1,5) + cn(4,5). A39885

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 0 vertically. A207305

Number of partitions of n such that cn(3,5) <= cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5). A36868