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130,088

130,088 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.).

130,088 (one hundred thirty thousand eighty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 23 × 101. Its proper divisors sum to 163,672, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FC28.

Abundant Number Arithmetic Number Odious Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
880,031
Square (n²)
16,922,887,744
Cube (n³)
2,201,464,620,841,472
Divisor count
32
σ(n) — sum of divisors
293,760
φ(n) — Euler's totient
52,800
Sum of prime factors
137

Primality

Prime factorization: 2 3 × 7 × 23 × 101

Nearest primes: 130,087 (−1) · 130,099 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 23 · 28 · 46 · 56 · 92 · 101 · 161 · 184 · 202 · 322 · 404 · 644 · 707 · 808 · 1288 · 1414 · 2323 · 2828 · 4646 · 5656 · 9292 · 16261 · 18584 · 32522 · 65044 (half) · 130088
Aliquot sum (sum of proper divisors): 163,672
Factor pairs (a × b = 130,088)
1 × 130088
2 × 65044
4 × 32522
7 × 18584
8 × 16261
14 × 9292
23 × 5656
28 × 4646
46 × 2828
56 × 2323
92 × 1414
101 × 1288
161 × 808
184 × 707
202 × 644
322 × 404
First multiples
130,088 · 260,176 (double) · 390,264 · 520,352 · 650,440 · 780,528 · 910,616 · 1,040,704 · 1,170,792 · 1,300,880

Sums & aliquot sequence

As consecutive integers: 18,581 + 18,582 + … + 18,587 8,123 + 8,124 + … + 8,138 5,645 + 5,646 + … + 5,667 1,238 + 1,239 + … + 1,338
Aliquot sequence: 130,088 163,672 151,328 146,662 73,334 39,754 30,806 16,258 10,382 5,818 2,912 4,144 5,280 12,864 21,680 28,912 31,848 — unresolved within range

Continued fraction of √n

√130,088 = [360; (1, 2, 10, 3, 1, 1, 1, 3, 1, 1, 1, 2, 2, 7, 2, 2, 1, 1, 1, 3, 1, 1, 1, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand eighty-eight
Ordinal
130088th
Binary
11111110000101000
Octal
376050
Hexadecimal
0x1FC28
Base64
Afwo
One's complement
4,294,837,207 (32-bit)
Scientific notation
1.30088 × 10⁵
As a duration
130,088 s = 1 day, 12 hours, 8 minutes, 8 seconds
In other bases
ternary (3) 20121110002
quaternary (4) 133300220
quinary (5) 13130323
senary (6) 2442132
septenary (7) 1051160
nonary (9) 217402
undecimal (11) 89812
duodecimal (12) 63348
tridecimal (13) 4729a
tetradecimal (14) 355a0
pentadecimal (15) 28828

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλπηʹ
Mayan (base 20)
𝋰·𝋥·𝋤·𝋨
Chinese
一十三萬零八十八
Chinese (financial)
壹拾參萬零捌拾捌
In other modern scripts
Eastern Arabic ١٣٠٠٨٨ Devanagari १३००८८ Bengali ১৩০০৮৮ Tamil ௧௩௦௦௮௮ Thai ๑๓๐๐๘๘ Tibetan ༡༣༠༠༨༨ Khmer ១៣០០៨៨ Lao ໑໓໐໐໘໘ Burmese ၁၃၀၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130088, here are decompositions:

  • 19 + 130069 = 130088
  • 31 + 130057 = 130088
  • 37 + 130051 = 130088
  • 61 + 130027 = 130088
  • 67 + 130021 = 130088
  • 151 + 129937 = 130088
  • 331 + 129757 = 130088
  • 457 + 129631 = 130088

Showing the first eight; more decompositions exist.

Hex color
#01FC28
RGB(1, 252, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.252.40.

Address
0.1.252.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.252.40

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 130,088 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 130088 first appears in π at position 277,136 of the decimal expansion (the 277,136ordinal-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.