Properties of the Number 67090

Sixty-Seven Thousand Ninety

Basics

Value: 67089 → 67090 → 67091

Parity: even

Prime: No

Previous Prime: 67079

Next Prime: 67103

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 6709

Divisors: 1, 2, 5, 10, 6709, 13418, 33545, 67090

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000011000010010

Octal: 203022

Duodecimal: 329AA

Hexadecimal: 10612

Square: 4501068100

Square Root: 259.01737393464555

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

Indices of pentagonal numbers (A000326) which are also centered square numbers (A001844). A254709

Sequence a(n) with all (x,y)=(a(2m),a(2m+-1)) satisfying y∣x²+1 and x∣y²+y+1. A242728

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero. A303799

[ (4th elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+3 positive integers congruent to 2 mod 3}. A24402

Floor(X/Y) where X = concatenation of (2n), (2n-1), ... down to n+1 and Y = concatenation of 1,2,3,... up to n. A67090

T(n,k) = Number of n X k 0..1 arrays with every element unequal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero. A303800

Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of the n*(k+1) boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of vertices in the resulting planar graph. A367322