Properties of the Number 89135

Eighty-Nine Thousand One Hundred Thirty-Five

Basics

Value: 89134 → 89135 → 89136

Parity: odd

Prime: No

Previous Prime: 89123

Next Prime: 89137

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 17827

Divisors: 1, 5, 17827, 89135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110000101111

Octal: 256057

Duodecimal: 436BB

Hexadecimal: 15c2f

Square: 7945048225

Square Root: 298.554852581565

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) = 1 + (number of partitions of n, n>0). A52810

Number of 7 X n 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing. A223954

T(n,k)=Number of nXk 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing. A223949

a(n) = |{0 < k < n: (p(k)+1)*p(n) + 1 is prime}|, where p(.) is the partition function (A000041). A238516

a(n) = |{0 < k < n: p(k)*p(n)*(p(n)+1) - 1 is prime}|, where p(.) is the partition function (A000041). A239214

Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically. A207722

a(n) = -a(n-2) + 2·a(n-4) - a(n-10). A89135