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135,752

135,752 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.).

135,752 (one hundred thirty-five thousand seven hundred fifty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 71 × 239. Written other ways, in hexadecimal, 0x21248.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,050
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
257,531
Square (n²)
18,428,605,504
Cube (n³)
2,501,720,054,379,008
Divisor count
16
σ(n) — sum of divisors
259,200
φ(n) — Euler's totient
66,640
Sum of prime factors
316

Primality

Prime factorization: 2 3 × 71 × 239

Nearest primes: 135,743 (−9) · 135,757 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 71 · 142 · 239 · 284 · 478 · 568 · 956 · 1912 · 16969 · 33938 · 67876 (half) · 135752
Aliquot sum (sum of proper divisors): 123,448
Factor pairs (a × b = 135,752)
1 × 135752
2 × 67876
4 × 33938
8 × 16969
71 × 1912
142 × 956
239 × 568
284 × 478
First multiples
135,752 · 271,504 (double) · 407,256 · 543,008 · 678,760 · 814,512 · 950,264 · 1,086,016 · 1,221,768 · 1,357,520

Sums & aliquot sequence

As consecutive integers: 8,477 + 8,478 + … + 8,492 1,877 + 1,878 + … + 1,947 449 + 450 + … + 687
Aliquot sequence: 135,752 123,448 126,032 118,186 59,096 54,304 52,670 46,690 56,990 48,850 42,104 41,296 42,404 31,810 25,466 21,190 20,138 — unresolved within range

Continued fraction of √n

√135,752 = [368; (2, 4, 12, 1, 14, 1, 3, 14, 1, 3, 1, 1, 1, 3, 1, 14, 3, 1, 14, 1, 12, 4, 2, 736)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand seven hundred fifty-two
Ordinal
135752nd
Binary
100001001001001000
Octal
411110
Hexadecimal
0x21248
Base64
AhJI
One's complement
4,294,831,543 (32-bit)
Scientific notation
1.35752 × 10⁵
As a duration
135,752 s = 1 day, 13 hours, 42 minutes, 32 seconds
In other bases
ternary (3) 20220012212
quaternary (4) 201021020
quinary (5) 13321002
senary (6) 2524252
septenary (7) 1103531
nonary (9) 226185
undecimal (11) 92aa1
duodecimal (12) 66688
tridecimal (13) 49a36
tetradecimal (14) 37688
pentadecimal (15) 2a352
Palindromic in base 6

As an angle

135,752° = 377 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεψνβʹ
Mayan (base 20)
𝋰·𝋳·𝋧·𝋬
Chinese
一十三萬五千七百五十二
Chinese (financial)
壹拾參萬伍仟柒佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٥٧٥٢ Devanagari १३५७५२ Bengali ১৩৫৭৫২ Tamil ௧௩௫௭௫௨ Thai ๑๓๕๗๕๒ Tibetan ༡༣༥༧༥༢ Khmer ១៣៥៧៥២ Lao ໑໓໕໗໕໒ Burmese ၁၃၅၇၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135752, here are decompositions:

  • 31 + 135721 = 135752
  • 103 + 135649 = 135752
  • 139 + 135613 = 135752
  • 151 + 135601 = 135752
  • 163 + 135589 = 135752
  • 181 + 135571 = 135752
  • 193 + 135559 = 135752
  • 241 + 135511 = 135752

Showing the first eight; more decompositions exist.

Unicode codepoint
𡉈
CJK Unified Ideograph-21248
U+21248
Other letter (Lo)

UTF-8 encoding: F0 A1 89 88 (4 bytes).

Hex color
#021248
RGB(2, 18, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.72.

Address
0.2.18.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.72

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 135,752 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.