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135,324

135,324 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.).

135,324 (one hundred thirty-five thousand three hundred twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 7 × 179. Its proper divisors sum to 267,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2109C.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
360
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
423,531
Square (n²)
18,312,584,976
Cube (n³)
2,478,132,249,292,224
Divisor count
48
σ(n) — sum of divisors
403,200
φ(n) — Euler's totient
38,448
Sum of prime factors
199

Primality

Prime factorization: 2 2 × 3 3 × 7 × 179

Nearest primes: 135,319 (−5) · 135,329 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 27 · 28 · 36 · 42 · 54 · 63 · 84 · 108 · 126 · 179 · 189 · 252 · 358 · 378 · 537 · 716 · 756 · 1074 · 1253 · 1611 · 2148 · 2506 · 3222 · 3759 · 4833 · 5012 · 6444 · 7518 · 9666 · 11277 · 15036 · 19332 · 22554 · 33831 · 45108 · 67662 (half) · 135324
Aliquot sum (sum of proper divisors): 267,876
Factor pairs (a × b = 135,324)
1 × 135324
2 × 67662
3 × 45108
4 × 33831
6 × 22554
7 × 19332
9 × 15036
12 × 11277
14 × 9666
18 × 7518
21 × 6444
27 × 5012
28 × 4833
36 × 3759
42 × 3222
54 × 2506
63 × 2148
84 × 1611
108 × 1253
126 × 1074
179 × 756
189 × 716
252 × 537
358 × 378
First multiples
135,324 · 270,648 (double) · 405,972 · 541,296 · 676,620 · 811,944 · 947,268 · 1,082,592 · 1,217,916 · 1,353,240

Sums & aliquot sequence

As consecutive integers: 45,107 + 45,108 + 45,109 19,329 + 19,330 + … + 19,335 16,912 + 16,913 + … + 16,919 15,032 + 15,033 + … + 15,040
Aliquot sequence: 135,324 267,876 506,716 506,772 957,964 958,020 2,108,988 3,984,372 7,716,044 7,716,100 11,810,428 11,810,484 22,309,420 34,057,940 52,815,532 73,271,660 122,683,540 — unresolved within range

Continued fraction of √n

√135,324 = [367; (1, 6, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 7, 1, 19, 1, 1, 4, 3, 20, 1, …)]

Representations

In words
one hundred thirty-five thousand three hundred twenty-four
Ordinal
135324th
Binary
100001000010011100
Octal
410234
Hexadecimal
0x2109C
Base64
AhCc
One's complement
4,294,831,971 (32-bit)
Scientific notation
1.35324 × 10⁵
As a duration
135,324 s = 1 day, 13 hours, 35 minutes, 24 seconds
In other bases
ternary (3) 20212122000
quaternary (4) 201002130
quinary (5) 13312244
senary (6) 2522300
septenary (7) 1102350
nonary (9) 225560
undecimal (11) 92742
duodecimal (12) 66390
tridecimal (13) 49797
tetradecimal (14) 37460
pentadecimal (15) 2a169

As an angle

135,324° = 375 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλετκδʹ
Mayan (base 20)
𝋰·𝋲·𝋦·𝋤
Chinese
一十三萬五千三百二十四
Chinese (financial)
壹拾參萬伍仟參佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٥٣٢٤ Devanagari १३५३२४ Bengali ১৩৫৩২৪ Tamil ௧௩௫௩௨௪ Thai ๑๓๕๓๒๔ Tibetan ༡༣༥༣༢༤ Khmer ១៣៥៣២៤ Lao ໑໓໕໓໒໔ Burmese ၁၃၅၃၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135324, here are decompositions:

  • 5 + 135319 = 135324
  • 23 + 135301 = 135324
  • 41 + 135283 = 135324
  • 43 + 135281 = 135324
  • 47 + 135277 = 135324
  • 53 + 135271 = 135324
  • 67 + 135257 = 135324
  • 83 + 135241 = 135324

Showing the first eight; more decompositions exist.

Unicode codepoint
𡂜
CJK Unified Ideograph-2109C
U+2109C
Other letter (Lo)

UTF-8 encoding: F0 A1 82 9C (4 bytes).

Hex color
#02109C
RGB(2, 16, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.156.

Address
0.2.16.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.156

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 135,324 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.