Properties of the Number 66094

Sixty-Six Thousand Ninety-Four

Basics

Value: 66093 → 66094 → 66095

Parity: even

Prime: No

Previous Prime: 66089

Next Prime: 66103

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 7 × 4721

Divisors: 1, 2, 7, 14, 4721, 9442, 33047, 66094

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001000101110

Octal: 201056

Duodecimal: 322BA

Hexadecimal: 1022e

Square: 4368416836

Square Root: 257.0875337312177

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 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A208688

a(n) = (1/(n+1)) * ∑_k=0..n k⁴ * (k+1) * binomial(2·n-k,n-k). A390967

Number of 1X5 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 1 zero-sum 5-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192692

Number of nX6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A208686

Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A208691

Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 2 X 3 which is symmetric after a rotation by 180 degrees. A123825

Type D Eulerian triangle. A66094