number.wiki
Live analysis

20,400

20,400 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
402
Recamán's sequence
a(86,416) = 20,400
Square (n²)
416,160,000
Cube (n³)
8,489,664,000,000
Divisor count
60
σ(n) — sum of divisors
69,192
φ(n) — Euler's totient
5,120
Sum of prime factors
38

Primality

Prime factorization: 2 4 × 3 × 5 2 × 17

Nearest primes: 20,399 (−1) · 20,407 (+7)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 20 · 24 · 25 · 30 · 34 · 40 · 48 · 50 · 51 · 60 · 68 · 75 · 80 · 85 · 100 · 102 · 120 · 136 · 150 · 170 · 200 · 204 · 240 · 255 · 272 · 300 · 340 · 400 · 408 · 425 · 510 · 600 · 680 · 816 · 850 · 1020 · 1200 · 1275 · 1360 · 1700 · 2040 · 2550 · 3400 · 4080 · 5100 · 6800 · 10200 (half) · 20400
Aliquot sum (sum of proper divisors): 48,792
Factor pairs (a × b = 20,400)
1 × 20400
2 × 10200
3 × 6800
4 × 5100
5 × 4080
6 × 3400
8 × 2550
10 × 2040
12 × 1700
15 × 1360
16 × 1275
17 × 1200
20 × 1020
24 × 850
25 × 816
30 × 680
34 × 600
40 × 510
48 × 425
50 × 408
51 × 400
60 × 340
68 × 300
75 × 272
80 × 255
85 × 240
100 × 204
102 × 200
120 × 170
136 × 150
First multiples
20,400 · 40,800 (double) · 61,200 · 81,600 · 102,000 · 122,400 · 142,800 · 163,200 · 183,600 · 204,000

Sums & aliquot sequence

As consecutive integers: 6,799 + 6,800 + 6,801 4,078 + 4,079 + 4,080 + 4,081 + 4,082 1,353 + 1,354 + … + 1,367 1,192 + 1,193 + … + 1,208
Aliquot sequence: 20,400 48,792 80,808 174,552 324,648 592,632 1,012,608 1,986,192 4,005,612 7,338,084 12,192,924 16,725,364 12,738,924 23,293,716 31,804,908 42,406,572 71,392,596 — unresolved within range

Representations

In words
twenty thousand four hundred
Ordinal
20400th
Binary
100111110110000
Octal
47660
Hexadecimal
0x4FB0
Base64
T7A=
One's complement
45,135 (16-bit)
In other bases
ternary (3) 1000222120
quaternary (4) 10332300
quinary (5) 1123100
senary (6) 234240
septenary (7) 113322
nonary (9) 30876
undecimal (11) 14366
duodecimal (12) b980
tridecimal (13) 9393
tetradecimal (14) 7612
pentadecimal (15) 60a0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian)
͵κυʹ
Mayan (base 20)
𝋢·𝋫·𝋠·𝋠
Chinese
二萬零四百
Chinese (financial)
貳萬零肆佰
In other modern scripts
Eastern Arabic ٢٠٤٠٠ Devanagari २०४०० Bengali ২০৪০০ Tamil ௨௦௪௦௦ Thai ๒๐๔๐๐ Tibetan ༢༠༤༠༠ Khmer ២០៤០០ Lao ໒໐໔໐໐ Burmese ၂၀၄၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 20,400 = 1
e — Euler's number (e)
Digit 20,400 = 9
φ — Golden ratio (φ)
Digit 20,400 = 5
√2 — Pythagoras's (√2)
Digit 20,400 = 0
ln 2 — Natural log of 2
Digit 20,400 = 6
γ — Euler-Mascheroni (γ)
Digit 20,400 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20400, here are decompositions:

  • 7 + 20393 = 20400
  • 11 + 20389 = 20400
  • 31 + 20369 = 20400
  • 41 + 20359 = 20400
  • 43 + 20357 = 20400
  • 47 + 20353 = 20400
  • 53 + 20347 = 20400
  • 59 + 20341 = 20400

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4Fb0
U+4FB0
Other letter (Lo)

UTF-8 encoding: E4 BE B0 (3 bytes).

Hex color
#004FB0
RGB(0, 79, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.79.176.

Address
0.0.79.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.79.176

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

Position in π

The digit sequence 20400 first appears in π at position 32,771 of the decimal expansion (the 32,771ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.