Number

1,680

1,680 is a composite number, even, a calendar year.

Abundant Number Harshad / Niven Octagonal Year

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digital root: 6
Palindrome: No
Divisor count: 40
σ(n) — sum of divisors: 5,952

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 7

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 48 · 56 · 60 · 70 · 80 · 84 · 105 · 112 · 120 · 140 · 168 · 210 · 240 · 280 · 336 · 420 · 560 · 840 · 1680

Aliquot sum (sum of proper divisors): 4,272

Factor pairs (a × b = 1,680)

1 × 1680

2 × 840

3 × 560

4 × 420

5 × 336

6 × 280

7 × 240

8 × 210

10 × 168

12 × 140

14 × 120

15 × 112

16 × 105

20 × 84

21 × 80

24 × 70

28 × 60

30 × 56

35 × 48

40 × 42

First multiples

1,680 · 3,360 · 5,040 · 6,720 · 8,400 · 10,080 · 11,760 · 13,440 · 15,120 · 16,800

Representations

In words: one thousand six hundred eighty
Ordinal: 1680th
Roman numeral: MDCLXXX
Binary: 11010010000
Octal: 3220
Hexadecimal: 690

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1680, here are decompositions:

11 + 1669 = 1680
13 + 1667 = 1680
17 + 1663 = 1680
23 + 1657 = 1680
43 + 1637 = 1680
53 + 1627 = 1680
59 + 1621 = 1680
61 + 1619 = 1680

Showing the first eight; more decompositions exist.

Unicode codepoint

U+0690

Other letter (Lo)

UTF-8 encoding: DA 90 (2 bytes).

Lookup U+0690 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000690

RGB(0, 6, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.144.