Properties of the Number 1680

One Thousand Six Hundred Eighty

Basics

Value: 1679 → 1680 → 1681

Parity: even

Prime: No

Previous Prime: 1669

Next Prime: 1693

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11010010000

Octal: 3220

Duodecimal: B80

Hexadecimal: 690

Square: 2822400

Square Root: 40.98780306383839

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

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

Highly composite numbers: numbers n where d(n), the number of divisors of n (A000005), increases to a record. A2182

a(n) = n*(n+2) = (n+1)² - 1. A5563

Octagonal numbers: n*(3·n-2). Also called star numbers. A567

Smallest number with exactly n divisors. A5179

Quadruple factorial numbers: a(n) = (2n)!/n!. A1813

Generalized octagonal numbers: k*(3·k-2), k=0, +- 1, +- 2, +-3, ... A1082

Triangle T(n,k) = n!/(n-k)! (0 <= k <= n) read by rows, giving number of permutations of n things k at a time. A8279

De Bruijn's S(3,n): (3n)!/(n!)³. A6480

Jordan function J₂(n) (a generalization of φ(n)). A7434