Properties of the Number 67728

Sixty-Seven Thousand Seven Hundred Twenty-Eight

Basics

Value: 67727 → 67728 → 67729

Parity: even

Prime: No

Previous Prime: 67723

Next Prime: 67733

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 17 × 83

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100010010000

Octal: 204220

Duodecimal: 33240

Hexadecimal: 10890

Square: 4587081984

Square Root: 260.24603743380993

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

McKay-Thompson series of class 8E for the Monster group. A29841

Smaller of Smith brothers. A50219

McKay-Thompson series of class 8D for the Monster group. A112143

McKay-Thompson series of class 16b for the Monster group. A112151

Numbers k such that sopfr(k + ω(k)) = sopfr(k), where sopfr(i) = A001414(i) and ω(i) = A001221(i). A187878

McKay-Thompson series of class 16c for the Monster group. A112152

a(n) = (1/2) * ∑_d∣n (2·d)^n/d. A359733

a(n) = 2·n² + 8·n. A67728

Indices n of Riemann ζ zeros for successive records of the normalized δ defined as d(n) = (z(n+1)-z(n))*(log(z(n)/(2Pi))/(2Pi)) where z(n) is the imaginary part of the n-th Riemann zero. A329742

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 7 or 8 king-move adjacent elements, with upper left element zero. A305585