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135,432

135,432 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.).

135,432 (one hundred thirty-five thousand four hundred thirty-two) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2³ × 3⁴ × 11 × 19. Its proper divisors sum to 300,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21108.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
360
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
234,531
Square (n²)
18,341,826,624
Cube (n³)
2,484,070,263,341,568
Divisor count
80
σ(n) — sum of divisors
435,600
φ(n) — Euler's totient
38,880
Sum of prime factors
48

Primality

Prime factorization: 2 3 × 3 4 × 11 × 19

Nearest primes: 135,431 (−1) · 135,433 (+1)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 18 · 19 · 22 · 24 · 27 · 33 · 36 · 38 · 44 · 54 · 57 · 66 · 72 · 76 · 81 · 88 · 99 · 108 · 114 · 132 · 152 · 162 · 171 · 198 · 209 · 216 · 228 · 264 · 297 · 324 · 342 · 396 · 418 · 456 · 513 · 594 · 627 · 648 · 684 · 792 · 836 · 891 · 1026 · 1188 · 1254 · 1368 · 1539 · 1672 · 1782 · 1881 · 2052 · 2376 · 2508 · 3078 · 3564 · 3762 · 4104 · 5016 · 5643 · 6156 · 7128 · 7524 · 11286 · 12312 · 15048 · 16929 · 22572 · 33858 · 45144 · 67716 (half) · 135432
Aliquot sum (sum of proper divisors): 300,168
Factor pairs (a × b = 135,432)
1 × 135432
2 × 67716
3 × 45144
4 × 33858
6 × 22572
8 × 16929
9 × 15048
11 × 12312
12 × 11286
18 × 7524
19 × 7128
22 × 6156
24 × 5643
27 × 5016
33 × 4104
36 × 3762
38 × 3564
44 × 3078
54 × 2508
57 × 2376
66 × 2052
72 × 1881
76 × 1782
81 × 1672
88 × 1539
99 × 1368
108 × 1254
114 × 1188
132 × 1026
152 × 891
162 × 836
171 × 792
198 × 684
209 × 648
216 × 627
228 × 594
264 × 513
297 × 456
324 × 418
342 × 396
First multiples
135,432 · 270,864 (double) · 406,296 · 541,728 · 677,160 · 812,592 · 948,024 · 1,083,456 · 1,218,888 · 1,354,320

Sums & aliquot sequence

As consecutive integers: 45,143 + 45,144 + 45,145 15,044 + 15,045 + … + 15,052 12,307 + 12,308 + … + 12,317 8,457 + 8,458 + … + 8,472
Aliquot sequence: 135,432 300,168 589,032 1,083,258 1,477,638 1,759,050 3,091,830 5,389,194 5,389,206 5,421,594 5,686,566 6,340,314 6,340,326 6,340,338 8,120,862 9,474,378 10,018,998 — unresolved within range

Continued fraction of √n

√135,432 = [368; (92, 736)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand four hundred thirty-two
Ordinal
135432nd
Binary
100001000100001000
Octal
410410
Hexadecimal
0x21108
Base64
AhEI
One's complement
4,294,831,863 (32-bit)
Scientific notation
1.35432 × 10⁵
As a duration
135,432 s = 1 day, 13 hours, 37 minutes, 12 seconds
In other bases
ternary (3) 20212210000
quaternary (4) 201010020
quinary (5) 13313212
senary (6) 2523000
septenary (7) 1102563
nonary (9) 225700
undecimal (11) 92830
duodecimal (12) 66460
tridecimal (13) 4984b
tetradecimal (14) 374da
pentadecimal (15) 2a1dc

As an angle

135,432° = 376 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλευλβʹ
Mayan (base 20)
𝋰·𝋲·𝋫·𝋬
Chinese
一十三萬五千四百三十二
Chinese (financial)
壹拾參萬伍仟肆佰參拾貳
In other modern scripts
Eastern Arabic ١٣٥٤٣٢ Devanagari १३५४३२ Bengali ১৩৫৪৩২ Tamil ௧௩௫௪௩௨ Thai ๑๓๕๔๓๒ Tibetan ༡༣༥༤༣༢ Khmer ១៣៥៤៣២ Lao ໑໓໕໔໓໒ Burmese ၁၃၅၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135432, here are decompositions:

  • 5 + 135427 = 135432
  • 23 + 135409 = 135432
  • 29 + 135403 = 135432
  • 41 + 135391 = 135432
  • 43 + 135389 = 135432
  • 79 + 135353 = 135432
  • 83 + 135349 = 135432
  • 103 + 135329 = 135432

Showing the first eight; more decompositions exist.

Unicode codepoint
𡄈
CJK Unified Ideograph-21108
U+21108
Other letter (Lo)

UTF-8 encoding: F0 A1 84 88 (4 bytes).

Hex color
#021108
RGB(2, 17, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.8.

Address
0.2.17.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.8

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 135,432 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°.