Number

2,040

2,040 is a composite number, even, a calendar year.

Abundant Number Harshad / Niven Year

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digital root: 6
Palindrome: No
Divisor count: 32
σ(n) — sum of divisors: 6,480

Primality

Prime factorization: 2 ³ × 3 × 5 × 17

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 30 · 34 · 40 · 51 · 60 · 68 · 85 · 102 · 120 · 136 · 170 · 204 · 255 · 340 · 408 · 510 · 680 · 1020 · 2040

Aliquot sum (sum of proper divisors): 4,440

Factor pairs (a × b = 2,040)

1 × 2040

2 × 1020

3 × 680

4 × 510

5 × 408

6 × 340

8 × 255

10 × 204

12 × 170

15 × 136

17 × 120

20 × 102

24 × 85

30 × 68

34 × 60

40 × 51

First multiples

2,040 · 4,080 · 6,120 · 8,160 · 10,200 · 12,240 · 14,280 · 16,320 · 18,360 · 20,400

Representations

In words: two thousand forty
Ordinal: 2040th
Roman numeral: MMXL
Binary: 11111111000
Octal: 3770
Hexadecimal: 7F8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2040, here are decompositions:

11 + 2029 = 2040
13 + 2027 = 2040
23 + 2017 = 2040
29 + 2011 = 2040
37 + 2003 = 2040
41 + 1999 = 2040
43 + 1997 = 2040
47 + 1993 = 2040

Showing the first eight; more decompositions exist.

Unicode codepoint

U+07F8

Other punctuation (Po)

UTF-8 encoding: DF B8 (2 bytes).

Lookup U+07F8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0007F8

RGB(0, 7, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.248.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number

000002040

Federal Reserve

United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Look up 000002040 on FedACH ↗ Routing Number Lookup (Wise) ↗