Properties of the Number 68000

Sixty-Eight Thousand

Basics

Value: 67999 → 68000 → 68001

Parity: even

Prime: No

Previous Prime: 67993

Next Prime: 68023

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 5 ³ × 17

Divisors: 1, 2, 4, 5, 8, 10, 16, 17, 20, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10000100110100000

Octal: 204640

Duodecimal: 33428

Hexadecimal: 109a0

Square: 4624000000

Square Root: 260.76809620810593

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

G.f.: A(x) satisfies: A( 6·x - 5·A(x) ) = x - 16·x². A292814

Numbers m such that the largest digit of m³ is 4. A294664

Number T(n,k) of colored set partitions of [n] where colors of the elements of subsets are in (weakly) increasing order and exactly k colors are used; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A321296

Numbers k such that k and k² use only the digits 0, 2, 4, 6 and 8. A136904

For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least five digits with a(k). Lexicographically first sequence of positive integers without duplicate terms having this property. A326640

Number of ways to place a non-attacking white and black queen on n X n chessboard. A35291

a(n) = (-1)ⁿ * ∑_i=0..n binomial(n+1,i+1)*Catalan(i). A50511

When cubed gives number composed just of the digits 0, 1, 2, 3, 4. A48792

Number of (n+1) X (5+1) 0..2 arrays with every 2 X 2 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally. A253466

E.g.f.: log(sech(x)+sinh(x))=x-2/2!*x²+6/3!*x³-20/4!*x⁴+120/5!*x⁵... A13206