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8,400

8,400 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Harshad / Niven Pentagonal

Properties

Parity
Even
Digit count
4
Digit sum
12
Digital root
3
Palindrome
No
Reversed
48
Divisor count
60
σ(n) — sum of divisors
30,752

Primality

Prime factorization: 2 4 × 3 × 5 2 × 7

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 48 · 50 · 56 · 60 · 70 · 75 · 80 · 84 · 100 · 105 · 112 · 120 · 140 · 150 · 168 · 175 · 200 · 210 · 240 · 280 · 300 · 336 · 350 · 400 · 420 · 525 · 560 · 600 · 700 · 840 · 1050 · 1200 · 1400 · 1680 · 2100 · 2800 · 4200 · 8400
Aliquot sum (sum of proper divisors): 22,352
Factor pairs (a × b = 8,400)
1 × 8400
2 × 4200
3 × 2800
4 × 2100
5 × 1680
6 × 1400
7 × 1200
8 × 1050
10 × 840
12 × 700
14 × 600
15 × 560
16 × 525
20 × 420
21 × 400
24 × 350
25 × 336
28 × 300
30 × 280
35 × 240
40 × 210
42 × 200
48 × 175
50 × 168
56 × 150
60 × 140
70 × 120
75 × 112
80 × 105
84 × 100
First multiples
8,400 · 16,800 · 25,200 · 33,600 · 42,000 · 50,400 · 58,800 · 67,200 · 75,600 · 84,000

Representations

In words
eight thousand four hundred
Ordinal
8400th
Binary
10000011010000
Octal
20320
Hexadecimal
0x20D0
Base64
INA=

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8400, here are decompositions:

  • 11 + 8389 = 8400
  • 13 + 8387 = 8400
  • 23 + 8377 = 8400
  • 31 + 8369 = 8400
  • 37 + 8363 = 8400
  • 47 + 8353 = 8400
  • 71 + 8329 = 8400
  • 83 + 8317 = 8400

Showing the first eight; more decompositions exist.

Unicode codepoint
Combining Left Harpoon Above
U+20D0
Non-spacing mark (Mn)

UTF-8 encoding: E2 83 90 (3 bytes).

Hex color
#0020D0
RGB(0, 32, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.208.

Address
0.0.32.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.32.208

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

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

Routing number
000008400
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.