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135,184

135,184 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.).

135,184 (one hundred thirty-five thousand one hundred eighty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 17 × 71. Its proper divisors sum to 186,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21010.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
480
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
481,531
Square (n²)
18,274,713,856
Cube (n³)
2,470,448,917,909,504
Divisor count
40
σ(n) — sum of divisors
321,408
φ(n) — Euler's totient
53,760
Sum of prime factors
103

Primality

Prime factorization: 2 4 × 7 × 17 × 71

Nearest primes: 135,181 (−3) · 135,193 (+9)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 17 · 28 · 34 · 56 · 68 · 71 · 112 · 119 · 136 · 142 · 238 · 272 · 284 · 476 · 497 · 568 · 952 · 994 · 1136 · 1207 · 1904 · 1988 · 2414 · 3976 · 4828 · 7952 · 8449 · 9656 · 16898 · 19312 · 33796 · 67592 (half) · 135184
Aliquot sum (sum of proper divisors): 186,224
Factor pairs (a × b = 135,184)
1 × 135184
2 × 67592
4 × 33796
7 × 19312
8 × 16898
14 × 9656
16 × 8449
17 × 7952
28 × 4828
34 × 3976
56 × 2414
68 × 1988
71 × 1904
112 × 1207
119 × 1136
136 × 994
142 × 952
238 × 568
272 × 497
284 × 476
First multiples
135,184 · 270,368 (double) · 405,552 · 540,736 · 675,920 · 811,104 · 946,288 · 1,081,472 · 1,216,656 · 1,351,840

Sums & aliquot sequence

As consecutive integers: 19,309 + 19,310 + … + 19,315 7,944 + 7,945 + … + 7,960 4,209 + 4,210 + … + 4,240 1,869 + 1,870 + … + 1,939
Aliquot sequence: 135,184 186,224 181,312 178,606 89,306 63,814 31,910 25,546 13,658 6,832 8,544 14,136 24,264 41,646 49,362 54,798 54,810 — unresolved within range

Continued fraction of √n

√135,184 = [367; (1, 2, 15, 3, 4, 1, 12, 1, 1, 3, 1, 4, 1, 28, 1, 1, 2, 2, 1, 1, 1, 81, 13, 2, …)]

Representations

In words
one hundred thirty-five thousand one hundred eighty-four
Ordinal
135184th
Binary
100001000000010000
Octal
410020
Hexadecimal
0x21010
Base64
AhAQ
One's complement
4,294,832,111 (32-bit)
Scientific notation
1.35184 × 10⁵
As a duration
135,184 s = 1 day, 13 hours, 33 minutes, 4 seconds
In other bases
ternary (3) 20212102211
quaternary (4) 201000100
quinary (5) 13311214
senary (6) 2521504
septenary (7) 1102060
nonary (9) 225384
undecimal (11) 92625
duodecimal (12) 66294
tridecimal (13) 496ba
tetradecimal (14) 373a0
pentadecimal (15) 2a0c4

As an angle

135,184° = 375 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλερπδʹ
Mayan (base 20)
𝋰·𝋱·𝋳·𝋤
Chinese
一十三萬五千一百八十四
Chinese (financial)
壹拾參萬伍仟壹佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٥١٨٤ Devanagari १३५१८४ Bengali ১৩৫১৮৪ Tamil ௧௩௫௧௮௪ Thai ๑๓๕๑๘๔ Tibetan ༡༣༥༡༨༤ Khmer ១៣៥១៨៤ Lao ໑໓໕໑໘໔ Burmese ၁၃၅၁၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135184, here are decompositions:

  • 3 + 135181 = 135184
  • 11 + 135173 = 135184
  • 53 + 135131 = 135184
  • 83 + 135101 = 135184
  • 107 + 135077 = 135184
  • 167 + 135017 = 135184
  • 233 + 134951 = 135184
  • 263 + 134921 = 135184

Showing the first eight; more decompositions exist.

Unicode codepoint
𡀐
CJK Unified Ideograph-21010
U+21010
Other letter (Lo)

UTF-8 encoding: F0 A1 80 90 (4 bytes).

Hex color
#021010
RGB(2, 16, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.16.

Address
0.2.16.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.16

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 135,184 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading