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53,400

53,400 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
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
435
Recamán's sequence
a(294,652) = 53,400
Square (n²)
2,851,560,000
Cube (n³)
152,273,304,000,000
Divisor count
48
σ(n) — sum of divisors
167,400
φ(n) — Euler's totient
14,080
Sum of prime factors
108

Primality

Prime factorization: 2 3 × 3 × 5 2 × 89

Nearest primes: 53,381 (−19) · 53,401 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 25 · 30 · 40 · 50 · 60 · 75 · 89 · 100 · 120 · 150 · 178 · 200 · 267 · 300 · 356 · 445 · 534 · 600 · 712 · 890 · 1068 · 1335 · 1780 · 2136 · 2225 · 2670 · 3560 · 4450 · 5340 · 6675 · 8900 · 10680 · 13350 · 17800 · 26700 (half) · 53400
Aliquot sum (sum of proper divisors): 114,000
Factor pairs (a × b = 53,400)
1 × 53400
2 × 26700
3 × 17800
4 × 13350
5 × 10680
6 × 8900
8 × 6675
10 × 5340
12 × 4450
15 × 3560
20 × 2670
24 × 2225
25 × 2136
30 × 1780
40 × 1335
50 × 1068
60 × 890
75 × 712
89 × 600
100 × 534
120 × 445
150 × 356
178 × 300
200 × 267
First multiples
53,400 · 106,800 (double) · 160,200 · 213,600 · 267,000 · 320,400 · 373,800 · 427,200 · 480,600 · 534,000

Sums & aliquot sequence

As consecutive integers: 17,799 + 17,800 + 17,801 10,678 + 10,679 + 10,680 + 10,681 + 10,682 3,553 + 3,554 + … + 3,567 3,330 + 3,331 + … + 3,345
Aliquot sequence: 53,400 114,000 272,880 645,960 1,571,640 3,819,720 7,772,280 15,728,520 31,457,400 77,389,800 162,520,440 325,041,240 651,766,920 1,600,300,920 3,200,602,200 6,721,266,480 14,168,512,560 — keeps growing

Representations

In words
fifty-three thousand four hundred
Ordinal
53400th
Binary
1101000010011000
Octal
150230
Hexadecimal
0xD098
Base64
0Jg=
One's complement
12,135 (16-bit)
In other bases
ternary (3) 2201020210
quaternary (4) 31002120
quinary (5) 3202100
senary (6) 1051120
septenary (7) 311454
nonary (9) 81223
undecimal (11) 37136
duodecimal (12) 26aa0
tridecimal (13) 1b3c9
tetradecimal (14) 15664
pentadecimal (15) 10c50

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵νγυʹ
Mayan (base 20)
𝋦·𝋭·𝋪·𝋠
Chinese
五萬三千四百
Chinese (financial)
伍萬參仟肆佰
In other modern scripts
Eastern Arabic ٥٣٤٠٠ Devanagari ५३४०० Bengali ৫৩৪০০ Tamil ௫௩௪௦௦ Thai ๕๓๔๐๐ Tibetan ༥༣༤༠༠ Khmer ៥៣៤០០ Lao ໕໓໔໐໐ Burmese ၅၃၄၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 53,400 = 8
e — Euler's number (e)
Digit 53,400 = 7
φ — Golden ratio (φ)
Digit 53,400 = 9
√2 — Pythagoras's (√2)
Digit 53,400 = 6
ln 2 — Natural log of 2
Digit 53,400 = 9
γ — Euler-Mascheroni (γ)
Digit 53,400 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 53400, here are decompositions:

  • 19 + 53381 = 53400
  • 23 + 53377 = 53400
  • 41 + 53359 = 53400
  • 47 + 53353 = 53400
  • 73 + 53327 = 53400
  • 101 + 53299 = 53400
  • 131 + 53269 = 53400
  • 167 + 53233 = 53400

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Kyim
U+D098
Other letter (Lo)

UTF-8 encoding: ED 82 98 (3 bytes).

Hex color
#00D098
RGB(0, 208, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.208.152.

Address
0.0.208.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.208.152

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
000053400
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.

Position in π

The digit sequence 53400 first appears in π at position 39,085 of the decimal expansion (the 39,085ordinal-suffix:th 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.