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135,872

135,872 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.).

135,872 (one hundred thirty-five thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 11 × 193. Its proper divisors sum to 159,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x212C0.

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,680
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
278,531
Square (n²)
18,461,200,384
Cube (n³)
2,508,360,218,574,848
Divisor count
28
σ(n) — sum of divisors
295,656
φ(n) — Euler's totient
61,440
Sum of prime factors
216

Primality

Prime factorization: 2 6 × 11 × 193

Nearest primes: 135,859 (−13) · 135,887 (+15)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 64 · 88 · 176 · 193 · 352 · 386 · 704 · 772 · 1544 · 2123 · 3088 · 4246 · 6176 · 8492 · 12352 · 16984 · 33968 · 67936 (half) · 135872
Aliquot sum (sum of proper divisors): 159,784
Factor pairs (a × b = 135,872)
1 × 135872
2 × 67936
4 × 33968
8 × 16984
11 × 12352
16 × 8492
22 × 6176
32 × 4246
44 × 3088
64 × 2123
88 × 1544
176 × 772
193 × 704
352 × 386
First multiples
135,872 · 271,744 (double) · 407,616 · 543,488 · 679,360 · 815,232 · 951,104 · 1,086,976 · 1,222,848 · 1,358,720

Sums & aliquot sequence

As consecutive integers: 12,347 + 12,348 + … + 12,357 998 + 999 + … + 1,125 608 + 609 + … + 800
Aliquot sequence: 135,872 159,784 139,826 71,758 35,882 31,510 28,106 20,278 10,142 6,490 6,470 5,194 4,040 5,140 5,696 5,734 3,194 — unresolved within range

Continued fraction of √n

√135,872 = [368; (1, 1, 1, 1, 4, 3, 1, 1, 5, 5, 4, 1, 25, 1, 1, 11, 105, 4, 2, 1, 5, 14, 1, 6, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand eight hundred seventy-two
Ordinal
135872nd
Binary
100001001011000000
Octal
411300
Hexadecimal
0x212C0
Base64
AhLA
One's complement
4,294,831,423 (32-bit)
Scientific notation
1.35872 × 10⁵
As a duration
135,872 s = 1 day, 13 hours, 44 minutes, 32 seconds
In other bases
ternary (3) 20220101022
quaternary (4) 201023000
quinary (5) 13321442
senary (6) 2525012
septenary (7) 1104062
nonary (9) 226338
undecimal (11) 930a0
duodecimal (12) 66768
tridecimal (13) 49ac9
tetradecimal (14) 37732
pentadecimal (15) 2a3d2

As an angle

135,872° = 377 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεωοβʹ
Mayan (base 20)
𝋰·𝋳·𝋭·𝋬
Chinese
一十三萬五千八百七十二
Chinese (financial)
壹拾參萬伍仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٥٨٧٢ Devanagari १३५८७२ Bengali ১৩৫৮৭২ Tamil ௧௩௫௮௭௨ Thai ๑๓๕๘๗๒ Tibetan ༡༣༥༨༧༢ Khmer ១៣៥៨៧២ Lao ໑໓໕໘໗໒ Burmese ၁၃၅၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135872, here are decompositions:

  • 13 + 135859 = 135872
  • 31 + 135841 = 135872
  • 43 + 135829 = 135872
  • 73 + 135799 = 135872
  • 151 + 135721 = 135872
  • 211 + 135661 = 135872
  • 223 + 135649 = 135872
  • 271 + 135601 = 135872

Showing the first eight; more decompositions exist.

Unicode codepoint
𡋀
CJK Unified Ideograph-212C0
U+212C0
Other letter (Lo)

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

Hex color
#0212C0
RGB(2, 18, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.192.

Address
0.2.18.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.192

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 135,872 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.