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135,732

135,732 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.).

135,732 (one hundred thirty-five thousand seven hundred thirty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,311. Its proper divisors sum to 181,004, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21234.

Abundant Number Cube-Free Evil Number Gapful Number Happy Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
630
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
237,531
Square (n²)
18,423,175,824
Cube (n³)
2,500,614,500,943,168
Divisor count
12
σ(n) — sum of divisors
316,736
φ(n) — Euler's totient
45,240
Sum of prime factors
11,318

Primality

Prime factorization: 2 2 × 3 × 11311

Nearest primes: 135,731 (−1) · 135,743 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11311 · 22622 · 33933 · 45244 · 67866 (half) · 135732
Aliquot sum (sum of proper divisors): 181,004
Factor pairs (a × b = 135,732)
1 × 135732
2 × 67866
3 × 45244
4 × 33933
6 × 22622
12 × 11311
First multiples
135,732 · 271,464 (double) · 407,196 · 542,928 · 678,660 · 814,392 · 950,124 · 1,085,856 · 1,221,588 · 1,357,320

Sums & aliquot sequence

As consecutive integers: 45,243 + 45,244 + 45,245 16,963 + 16,964 + … + 16,970 5,644 + 5,645 + … + 5,667
Aliquot sequence: 135,732 181,004 144,580 159,080 211,360 288,356 216,274 127,274 90,934 52,706 31,876 28,296 50,904 108,216 196,704 363,492 597,468 — unresolved within range

Continued fraction of √n

√135,732 = [368; (2, 2, 1, 1, 3, 1, 4, 1, 5, 2, 1, 2, 1, 6, 31, 1, 7, 1, 9, 1, 17, 1, 66, 26, …)]

Representations

In words
one hundred thirty-five thousand seven hundred thirty-two
Ordinal
135732nd
Binary
100001001000110100
Octal
411064
Hexadecimal
0x21234
Base64
AhI0
One's complement
4,294,831,563 (32-bit)
Scientific notation
1.35732 × 10⁵
As a duration
135,732 s = 1 day, 13 hours, 42 minutes, 12 seconds
In other bases
ternary (3) 20220012010
quaternary (4) 201020310
quinary (5) 13320412
senary (6) 2524220
septenary (7) 1103502
nonary (9) 226163
undecimal (11) 92a83
duodecimal (12) 66670
tridecimal (13) 49a1c
tetradecimal (14) 37672
pentadecimal (15) 2a33c

As an angle

135,732° = 377 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεψλβʹ
Mayan (base 20)
𝋰·𝋳·𝋦·𝋬
Chinese
一十三萬五千七百三十二
Chinese (financial)
壹拾參萬伍仟柒佰參拾貳
In other modern scripts
Eastern Arabic ١٣٥٧٣٢ Devanagari १३५७३२ Bengali ১৩৫৭৩২ Tamil ௧௩௫௭௩௨ Thai ๑๓๕๗๓๒ Tibetan ༡༣༥༧༣༢ Khmer ១៣៥៧៣២ Lao ໑໓໕໗໓໒ Burmese ၁၃၅၇၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135732, here are decompositions:

  • 5 + 135727 = 135732
  • 11 + 135721 = 135732
  • 13 + 135719 = 135732
  • 31 + 135701 = 135732
  • 61 + 135671 = 135732
  • 71 + 135661 = 135732
  • 83 + 135649 = 135732
  • 109 + 135623 = 135732

Showing the first eight; more decompositions exist.

Unicode codepoint
𡈴
CJK Unified Ideograph-21234
U+21234
Other letter (Lo)

UTF-8 encoding: F0 A1 88 B4 (4 bytes).

Hex color
#021234
RGB(2, 18, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.52.

Address
0.2.18.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.52

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 135,732 and was likely granted around 1872.

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

Position in π

The digit sequence 135732 first appears in π at position 523,237 of the decimal expansion (the 523,237ordinal-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.

Related reading

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