Properties of the Number 66013

Sixty-Six Thousand Thirteen

Basics

Value: 66012 → 66013 → 66014

Parity: odd

Prime: No

Previous Prime: 65993

Next Prime: 66029

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 251 × 263

Divisors: 1, 251, 263, 66013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000111011101

Octal: 200735

Duodecimal: 32251

Hexadecimal: 101dd

Square: 4357716169

Square Root: 256.9299515432173

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

Sequence of pairwise relatively prime numbers of class P₄ (see comment in A275246). A275248

Nonprime squarefree numbers whose prime indices all have the same ω (A001222) and the same sum of prime indices (A056239). A327908

Coefficients of Jacobi cusp form of index 1 and weight 10. A3784

Column 1 of triangle A128564; a(n) equals the number of permutations of {1..n+2} with [n/2+1] inversions for n>=0. A128565

Number of binary strings of length n with no substrings equal to 0001 or 1000. A164398

Sum of all parts that are not the smallest part (counted with multiplicity) of all partitions of n. A213359

a(n) is the sum of the (1,2)- and (1,3)-entries of the matrix Pⁿ + Tⁿ, where the 3 X 3 matrices P and T are defined by P = [0,1,0; 0,0,1; 1,0,0] and T = [0,1,0; 0,0,1; 1,1,1]. A109523

Number of reduced words of length n in the Weyl group A₁₄. A161475

Number of (n+3) X 10 0..1 matrices with each 4 X 4 subblock idempotent. A224567

Mahonian numbers T(n,7) (cf. A008302). A242657