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135,728

135,728 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.).

135,728 (one hundred thirty-five thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 499. Its proper divisors sum to 143,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21230.

Abundant Number Arithmetic 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
827,531
Square (n²)
18,422,089,984
Cube (n³)
2,500,393,429,348,352
Divisor count
20
σ(n) — sum of divisors
279,000
φ(n) — Euler's totient
63,744
Sum of prime factors
524

Primality

Prime factorization: 2 4 × 17 × 499

Nearest primes: 135,727 (−1) · 135,731 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 499 · 998 · 1996 · 3992 · 7984 · 8483 · 16966 · 33932 · 67864 (half) · 135728
Aliquot sum (sum of proper divisors): 143,272
Factor pairs (a × b = 135,728)
1 × 135728
2 × 67864
4 × 33932
8 × 16966
16 × 8483
17 × 7984
34 × 3992
68 × 1996
136 × 998
272 × 499
First multiples
135,728 · 271,456 (double) · 407,184 · 542,912 · 678,640 · 814,368 · 950,096 · 1,085,824 · 1,221,552 · 1,357,280

Sums & aliquot sequence

As consecutive integers: 7,976 + 7,977 + … + 7,992 4,226 + 4,227 + … + 4,257 23 + 24 + … + 521
Aliquot sequence: 135,728 143,272 125,378 86,302 43,154 21,580 27,812 23,848 25,112 23,728 22,276 16,714 8,954 6,208 6,238 3,122 2,254 — unresolved within range

Continued fraction of √n

√135,728 = [368; (2, 2, 2, 1, 2, 1, 1, 2, 22, 1, 1, 1, 3, 5, 9, 1, 1, 45, 1, 1, 9, 5, 3, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand seven hundred twenty-eight
Ordinal
135728th
Binary
100001001000110000
Octal
411060
Hexadecimal
0x21230
Base64
AhIw
One's complement
4,294,831,567 (32-bit)
Scientific notation
1.35728 × 10⁵
As a duration
135,728 s = 1 day, 13 hours, 42 minutes, 8 seconds
In other bases
ternary (3) 20220011222
quaternary (4) 201020300
quinary (5) 13320403
senary (6) 2524212
septenary (7) 1103465
nonary (9) 226158
undecimal (11) 92a7a
duodecimal (12) 66668
tridecimal (13) 49a18
tetradecimal (14) 3766c
pentadecimal (15) 2a338

As an angle

135,728° = 377 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεψκηʹ
Mayan (base 20)
𝋰·𝋳·𝋦·𝋨
Chinese
一十三萬五千七百二十八
Chinese (financial)
壹拾參萬伍仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٥٧٢٨ Devanagari १३५७२८ Bengali ১৩৫৭২৮ Tamil ௧௩௫௭௨௮ Thai ๑๓๕๗๒๘ Tibetan ༡༣༥༧༢༨ Khmer ១៣៥៧២៨ Lao ໑໓໕໗໒໘ Burmese ၁၃၅၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135728, here are decompositions:

  • 7 + 135721 = 135728
  • 31 + 135697 = 135728
  • 67 + 135661 = 135728
  • 79 + 135649 = 135728
  • 127 + 135601 = 135728
  • 139 + 135589 = 135728
  • 157 + 135571 = 135728
  • 337 + 135391 = 135728

Showing the first eight; more decompositions exist.

Unicode codepoint
𡈰
CJK Unified Ideograph-21230
U+21230
Other letter (Lo)

UTF-8 encoding: F0 A1 88 B0 (4 bytes).

Hex color
#021230
RGB(2, 18, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.48.

Address
0.2.18.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.48

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 135,728 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.