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135,018

135,018 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.).

135,018 (one hundred thirty-five thousand eighteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 13 × 577. Its proper divisors sum to 180,570, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20F6A.

Abundant Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
810,531
Recamán's sequence
a(36,268) = 135,018
Square (n²)
18,229,860,324
Cube (n³)
2,461,359,281,225,832
Divisor count
24
σ(n) — sum of divisors
315,588
φ(n) — Euler's totient
41,472
Sum of prime factors
598

Primality

Prime factorization: 2 × 3 2 × 13 × 577

Nearest primes: 135,017 (−1) · 135,019 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 78 · 117 · 234 · 577 · 1154 · 1731 · 3462 · 5193 · 7501 · 10386 · 15002 · 22503 · 45006 · 67509 (half) · 135018
Aliquot sum (sum of proper divisors): 180,570
Factor pairs (a × b = 135,018)
1 × 135018
2 × 67509
3 × 45006
6 × 22503
9 × 15002
13 × 10386
18 × 7501
26 × 5193
39 × 3462
78 × 1731
117 × 1154
234 × 577
First multiples
135,018 · 270,036 (double) · 405,054 · 540,072 · 675,090 · 810,108 · 945,126 · 1,080,144 · 1,215,162 · 1,350,180

Sums & aliquot sequence

As a sum of two squares: 57² + 363² = 87² + 357²
As consecutive integers: 45,005 + 45,006 + 45,007 33,753 + 33,754 + 33,755 + 33,756 14,998 + 14,999 + … + 15,006 11,246 + 11,247 + … + 11,257
Aliquot sequence: 135,018 180,570 287,142 287,154 454,158 573,570 917,946 1,155,654 1,412,586 2,308,374 2,722,626 3,390,654 3,390,666 3,390,678 4,025,250 6,865,110 14,767,722 — unresolved within range

Continued fraction of √n

√135,018 = [367; (2, 4, 3, 3, 2, 2, 31, 1, 1, 5, 1, 1, 3, 3, 3, 1, 2, 1, 2, 1, 42, 2, 81, 6, …)]

Representations

In words
one hundred thirty-five thousand eighteen
Ordinal
135018th
Binary
100000111101101010
Octal
407552
Hexadecimal
0x20F6A
Base64
Ag9q
One's complement
4,294,832,277 (32-bit)
Scientific notation
1.35018 × 10⁵
As a duration
135,018 s = 1 day, 13 hours, 30 minutes, 18 seconds
In other bases
ternary (3) 20212012200
quaternary (4) 200331222
quinary (5) 13310033
senary (6) 2521030
septenary (7) 1101432
nonary (9) 225180
undecimal (11) 92494
duodecimal (12) 66176
tridecimal (13) 495c0
tetradecimal (14) 372c2
pentadecimal (15) 2a013

As an angle

135,018° = 375 × 360° + 18°
18° ≈ 0.314 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλειηʹ
Mayan (base 20)
𝋰·𝋱·𝋪·𝋲
Chinese
一十三萬五千零一十八
Chinese (financial)
壹拾參萬伍仟零壹拾捌
In other modern scripts
Eastern Arabic ١٣٥٠١٨ Devanagari १३५०१८ Bengali ১৩৫০১৮ Tamil ௧௩௫௦௧௮ Thai ๑๓๕๐๑๘ Tibetan ༡༣༥༠༡༨ Khmer ១៣៥០១៨ Lao ໑໓໕໐໑໘ Burmese ၁၃၅၀၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135018, here are decompositions:

  • 11 + 135007 = 135018
  • 19 + 134999 = 135018
  • 29 + 134989 = 135018
  • 67 + 134951 = 135018
  • 71 + 134947 = 135018
  • 97 + 134921 = 135018
  • 101 + 134917 = 135018
  • 109 + 134909 = 135018

Showing the first eight; more decompositions exist.

Unicode codepoint
𠽪
CJK Unified Ideograph-20F6A
U+20F6A
Other letter (Lo)

UTF-8 encoding: F0 A0 BD AA (4 bytes).

Hex color
#020F6A
RGB(2, 15, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.106.

Address
0.2.15.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.106

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 135,018 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 135018 first appears in π at position 32,804 of the decimal expansion (the 32,804ordinal-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°.