Properties of the Number 66150

Sixty-Six Thousand One Hundred Fifty

Basics

Value: 66149 → 66150 → 66151

Parity: even

Prime: No

Previous Prime: 66137

Next Prime: 66161

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 5 ² × 7 ²

Divisors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001001100110

Octal: 201146

Duodecimal: 32346

Hexadecimal: 10266

Square: 4375822500

Square Root: 257.1964229922337

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

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any west neighbor modulo n and the upper left element equal to 0. A267629

a(n) = n²*(5·n-3)/2. A6597

Numbers with prime factorization p·q²*r²*s³ (where p, q, r, s are distinct primes). A190109

a(n) = A059897(A260443(n), A260443(1+n)). A284577

a(n) = ∏_d∣n A019565(d)^A010051(n/d). A329352

Triangle read by rows: T(n,k) is the number of achiral combinatorial maps with n edges and genus k, 0 <= k <= floor(n/2). A380234

Triangle read by rows: T(n,k) is the number of fixed-point-free involutions of {1,2,...,2n} having k cycles with entries of opposite parities (0 <= k <= n). A161119

Triangle read by rows: T(n,k) is the number of fixed-point-free involutions of {1,2,...,2n} having k cycles with entries of the same parity (0 <= k <= 2·floor(n/2)). A161121

Triangular array: row n gives the coefficients of the polynomial p(n,x) defined in Comments. A249247

Numerators of coefficients of series expansion of 1/(Bernoulli trial entropy), scaled to denominators A091137. A145178