Properties of the Number 68160

Sixty-Eight Thousand One Hundred Sixty

Basics

Value: 68159 → 68160 → 68161

Parity: even

Prime: No

Previous Prime: 68147

Next Prime: 68161

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 5 × 71

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000101001000000

Octal: 205100

Duodecimal: 33540

Hexadecimal: 10a40

Square: 4645785600

Square Root: 261.07470195329154

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 (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element. A250927

∑_{n >= 0} a(n) * xⁿ / n!² = exp(-2·x)/(1-x)³. A52127

a(n) = 2·a(n-1) + 4·a(n-2) - 4·a(n-3) - 4·a(n-4). A99177

Expansion of 2*(1-x)*(2·x²+4·x+1) / (1-x-x²)². A271786

Numbers k such that the first 9 digits of the k-th Lucas number are 1-9 pandigital. A216489

Number of (n+1) X (1+1) 0..2 arrays with no 2 X 2 subblock having its minimum diagonal element less than its minimum antidiagonal element. A250920

Number of (n+1)X(5+1) 0..2 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element. A250924

a(n) is the number of 2 X 2 matrices over the integers mod n that are invertible mod n for every permutation of their elements. A367926

E.g.f. A(x) satisfies A(x) = 1/( 1 - x·cosh(x·A(x)) )². A381377

Triangle of B-analogs of Stirling numbers of the second kind. A39755