Properties of the Number 68135

Sixty-Eight Thousand One Hundred Thirty-Five

Basics

Value: 68134 → 68135 → 68136

Parity: odd

Prime: No

Previous Prime: 68113

Next Prime: 68141

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 13627

Divisors: 1, 5, 13627, 68135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101000100111

Octal: 205047

Duodecimal: 3351B

Hexadecimal: 10a27

Square: 4642378225

Square Root: 261.026818545528

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

Total number of parts in all partitions of n. Also, sum of largest parts of all partitions of n. A6128

Coefficient of xⁿ in ∏_k>=1 1/(1+x^k)ⁿ. A255526

Expansion of ∏_m>=1 (1+q^m)^-11. A22606

Denominator of the mean of all parts of all partitions of n. A236361

Total number of parts in all partitions of prime(n). A186409

The infinite Fibonacci word (start with 0, apply 0->01, 1->0, take limit). A3849

The infinite Fibonacci word: start with 1, repeatedly apply the morphism 1->12, 2->1, take limit; or, start with S(0)=2, S(1)=1, and for n>1 define S(n)=S(n-1)S(n-2), then the sequence is S(oo). A3842

Smallest prime ending in reverse concatenation of first n natural numbers. A68135