Properties of the Number 67968

Sixty-Seven Thousand Nine Hundred Sixty-Eight

Basics

Value: 67967 → 67968 → 67969

Parity: even

Prime: No

Previous Prime: 67967

Next Prime: 67979

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ² × 59

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10000100110000000

Octal: 204600

Duodecimal: 33400

Hexadecimal: 10980

Square: 4619649024

Square Root: 260.7067317888052

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

Number of key comparisons to sort all n! permutations of n elements by quicksort. A288964

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases. A206206

Number of quasi-triominoes in an n X n bounding box. A94170

Records in A087029. A186443

Number of lunar divisors of the decimal (lunar) number 111...1 (with n 1's). A186510

Numbers with prime factorization pq^2r^7. A190466

Number of lunar divisors (in base 10) of the n-th number whose decimal expansion contains only 0's and 1's and begins and ends with a 1 (A099821(n)). A186943

Integers m that satisfy τ(m) + ω(m) = #({φ(x) = m}). A305656

Volume (multiplied by 3) of polyhedron formed by points (i,j,k) in Z³ with i²+j²+k² = n². A65089

Number of lunar divisors (in base 10) of the n-th nonzero number whose decimal expansion contains only 0's and 1's (A007088(n)). A186951