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135,080

135,080 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.).

135,080 (one hundred thirty-five thousand eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 11 × 307. Its proper divisors sum to 197,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20FA8.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
80,531
Recamán's sequence
a(36,392) = 135,080
Square (n²)
18,246,606,400
Cube (n³)
2,464,751,592,512,000
Divisor count
32
σ(n) — sum of divisors
332,640
φ(n) — Euler's totient
48,960
Sum of prime factors
329

Primality

Prime factorization: 2 3 × 5 × 11 × 307

Nearest primes: 135,077 (−3) · 135,089 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 40 · 44 · 55 · 88 · 110 · 220 · 307 · 440 · 614 · 1228 · 1535 · 2456 · 3070 · 3377 · 6140 · 6754 · 12280 · 13508 · 16885 · 27016 · 33770 · 67540 (half) · 135080
Aliquot sum (sum of proper divisors): 197,560
Factor pairs (a × b = 135,080)
1 × 135080
2 × 67540
4 × 33770
5 × 27016
8 × 16885
10 × 13508
11 × 12280
20 × 6754
22 × 6140
40 × 3377
44 × 3070
55 × 2456
88 × 1535
110 × 1228
220 × 614
307 × 440
First multiples
135,080 · 270,160 (double) · 405,240 · 540,320 · 675,400 · 810,480 · 945,560 · 1,080,640 · 1,215,720 · 1,350,800

Sums & aliquot sequence

As consecutive integers: 27,014 + 27,015 + 27,016 + 27,017 + 27,018 12,275 + 12,276 + … + 12,285 8,435 + 8,436 + … + 8,450 2,429 + 2,430 + … + 2,483
Aliquot sequence: 135,080 197,560 288,440 360,640 681,776 639,196 479,404 359,560 466,640 679,120 1,023,896 912,544 884,090 718,630 732,890 603,718 313,562 — unresolved within range

Continued fraction of √n

√135,080 = [367; (1, 1, 7, 4, 4, 1, 1, 1, 2, 14, 1, 1, 1, 1, 1, 7, 1, 1, 1, 2, 1, 6, 2, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand eighty
Ordinal
135080th
Binary
100000111110101000
Octal
407650
Hexadecimal
0x20FA8
Base64
Ag+o
One's complement
4,294,832,215 (32-bit)
Scientific notation
1.3508 × 10⁵
As a duration
135,080 s = 1 day, 13 hours, 31 minutes, 20 seconds
In other bases
ternary (3) 20212021222
quaternary (4) 200332220
quinary (5) 13310310
senary (6) 2521212
septenary (7) 1101551
nonary (9) 225258
undecimal (11) 92540
duodecimal (12) 66208
tridecimal (13) 4963a
tetradecimal (14) 37328
pentadecimal (15) 2a055

As an angle

135,080° = 375 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλεπʹ
Mayan (base 20)
𝋰·𝋱·𝋮·𝋠
Chinese
一十三萬五千零八十
Chinese (financial)
壹拾參萬伍仟零捌拾
In other modern scripts
Eastern Arabic ١٣٥٠٨٠ Devanagari १३५०८० Bengali ১৩৫০৮০ Tamil ௧௩௫௦௮௦ Thai ๑๓๕๐๘๐ Tibetan ༡༣༥༠༨༠ Khmer ១៣៥០៨០ Lao ໑໓໕໐໘໐ Burmese ၁၃၅၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135080, here are decompositions:

  • 3 + 135077 = 135080
  • 31 + 135049 = 135080
  • 37 + 135043 = 135080
  • 61 + 135019 = 135080
  • 73 + 135007 = 135080
  • 157 + 134923 = 135080
  • 163 + 134917 = 135080
  • 193 + 134887 = 135080

Showing the first eight; more decompositions exist.

Unicode codepoint
𠾨
CJK Unified Ideograph-20Fa8
U+20FA8
Other letter (Lo)

UTF-8 encoding: F0 A0 BE A8 (4 bytes).

Hex color
#020FA8
RGB(2, 15, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.168.

Address
0.2.15.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.168

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 135,080 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 135080 first appears in π at position 199,985 of the decimal expansion (the 199,985ordinal-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

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