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135,090

135,090 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.).

135,090 (one hundred thirty-five thousand ninety) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 5 × 19 × 79. Its proper divisors sum to 239,310, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FB2.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical 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
90,531
Recamán's sequence
a(36,412) = 135,090
Square (n²)
18,249,308,100
Cube (n³)
2,465,299,031,229,000
Divisor count
48
σ(n) — sum of divisors
374,400
φ(n) — Euler's totient
33,696
Sum of prime factors
111

Primality

Prime factorization: 2 × 3 2 × 5 × 19 × 79

Nearest primes: 135,089 (−1) · 135,101 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 19 · 30 · 38 · 45 · 57 · 79 · 90 · 95 · 114 · 158 · 171 · 190 · 237 · 285 · 342 · 395 · 474 · 570 · 711 · 790 · 855 · 1185 · 1422 · 1501 · 1710 · 2370 · 3002 · 3555 · 4503 · 7110 · 7505 · 9006 · 13509 · 15010 · 22515 · 27018 · 45030 · 67545 (half) · 135090
Aliquot sum (sum of proper divisors): 239,310
Factor pairs (a × b = 135,090)
1 × 135090
2 × 67545
3 × 45030
5 × 27018
6 × 22515
9 × 15010
10 × 13509
15 × 9006
18 × 7505
19 × 7110
30 × 4503
38 × 3555
45 × 3002
57 × 2370
79 × 1710
90 × 1501
95 × 1422
114 × 1185
158 × 855
171 × 790
190 × 711
237 × 570
285 × 474
342 × 395
First multiples
135,090 · 270,180 (double) · 405,270 · 540,360 · 675,450 · 810,540 · 945,630 · 1,080,720 · 1,215,810 · 1,350,900

Sums & aliquot sequence

As consecutive integers: 45,029 + 45,030 + 45,031 33,771 + 33,772 + 33,773 + 33,774 27,016 + 27,017 + 27,018 + 27,019 + 27,020 15,006 + 15,007 + … + 15,014
Aliquot sequence: 135,090 239,310 383,130 766,854 1,093,626 1,275,936 2,073,648 3,283,400 4,350,970 4,083,470 3,266,794 1,713,914 1,240,966 858,914 691,486 437,474 218,740 — unresolved within range

Continued fraction of √n

√135,090 = [367; (1, 1, 4, 1, 17, 9, 52, 2, 1, 1, 9, 1, 3, 14, 1, 2, 1, 14, 3, 1, 9, 1, 1, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand ninety
Ordinal
135090th
Binary
100000111110110010
Octal
407662
Hexadecimal
0x20FB2
Base64
Ag+y
One's complement
4,294,832,205 (32-bit)
Scientific notation
1.3509 × 10⁵
As a duration
135,090 s = 1 day, 13 hours, 31 minutes, 30 seconds
In other bases
ternary (3) 20212022100
quaternary (4) 200332302
quinary (5) 13310330
senary (6) 2521230
septenary (7) 1101564
nonary (9) 225270
undecimal (11) 9254a
duodecimal (12) 66216
tridecimal (13) 49647
tetradecimal (14) 37334
pentadecimal (15) 2a060

As an angle

135,090° = 375 × 360° + 90°
90° ≈ 1.571 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλεϟʹ
Mayan (base 20)
𝋰·𝋱·𝋮·𝋪
Chinese
一十三萬五千零九十
Chinese (financial)
壹拾參萬伍仟零玖拾
In other modern scripts
Eastern Arabic ١٣٥٠٩٠ Devanagari १३५०९० Bengali ১৩৫০৯০ Tamil ௧௩௫௦௯௦ Thai ๑๓๕๐๙๐ Tibetan ༡༣༥༠༩༠ Khmer ១៣៥០៩០ Lao ໑໓໕໐໙໐ Burmese ၁၃၅၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135090, here are decompositions:

  • 13 + 135077 = 135090
  • 31 + 135059 = 135090
  • 41 + 135049 = 135090
  • 47 + 135043 = 135090
  • 61 + 135029 = 135090
  • 71 + 135019 = 135090
  • 73 + 135017 = 135090
  • 83 + 135007 = 135090

Showing the first eight; more decompositions exist.

Unicode codepoint
𠾲
CJK Unified Ideograph-20Fb2
U+20FB2
Other letter (Lo)

UTF-8 encoding: F0 A0 BE B2 (4 bytes).

Hex color
#020FB2
RGB(2, 15, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.178.

Address
0.2.15.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.178

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 135,090 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 135090 first appears in π at position 277,995 of the decimal expansion (the 277,995ordinal-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°.