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130,760

130,760 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.).

130,760 (one hundred thirty thousand seven hundred sixty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 467. Its proper divisors sum to 206,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FEC8.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
67,031
Square (n²)
17,098,177,600
Cube (n³)
2,235,757,702,976,000
Divisor count
32
σ(n) — sum of divisors
336,960
φ(n) — Euler's totient
44,736
Sum of prime factors
485

Primality

Prime factorization: 2 3 × 5 × 7 × 467

Nearest primes: 130,729 (−31) · 130,769 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 56 · 70 · 140 · 280 · 467 · 934 · 1868 · 2335 · 3269 · 3736 · 4670 · 6538 · 9340 · 13076 · 16345 · 18680 · 26152 · 32690 · 65380 (half) · 130760
Aliquot sum (sum of proper divisors): 206,200
Factor pairs (a × b = 130,760)
1 × 130760
2 × 65380
4 × 32690
5 × 26152
7 × 18680
8 × 16345
10 × 13076
14 × 9340
20 × 6538
28 × 4670
35 × 3736
40 × 3269
56 × 2335
70 × 1868
140 × 934
280 × 467
First multiples
130,760 · 261,520 (double) · 392,280 · 523,040 · 653,800 · 784,560 · 915,320 · 1,046,080 · 1,176,840 · 1,307,600

Sums & aliquot sequence

As consecutive integers: 26,150 + 26,151 + 26,152 + 26,153 + 26,154 18,677 + 18,678 + … + 18,683 8,165 + 8,166 + … + 8,180 3,719 + 3,720 + … + 3,753
Aliquot sequence: 130,760 206,200 273,680 422,704 425,456 398,896 384,536 347,704 411,536 444,994 293,726 184,498 101,882 66,496 65,584 61,516 71,764 — unresolved within range

Continued fraction of √n

√130,760 = [361; (1, 1, 1, 1, 4, 1, 2, 1, 1, 5, 2, 2, 22, 1, 11, 1, 22, 2, 2, 5, 1, 1, 2, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand seven hundred sixty
Ordinal
130760th
Binary
11111111011001000
Octal
377310
Hexadecimal
0x1FEC8
Base64
Af7I
One's complement
4,294,836,535 (32-bit)
Scientific notation
1.3076 × 10⁵
As a duration
130,760 s = 1 day, 12 hours, 19 minutes, 20 seconds
In other bases
ternary (3) 20122100222
quaternary (4) 133323020
quinary (5) 13141020
senary (6) 2445212
septenary (7) 1053140
nonary (9) 218328
undecimal (11) 8a273
duodecimal (12) 63808
tridecimal (13) 47696
tetradecimal (14) 35920
pentadecimal (15) 28b25

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλψξʹ
Mayan (base 20)
𝋰·𝋦·𝋲·𝋠
Chinese
一十三萬零七百六十
Chinese (financial)
壹拾參萬零柒佰陸拾
In other modern scripts
Eastern Arabic ١٣٠٧٦٠ Devanagari १३०७६० Bengali ১৩০৭৬০ Tamil ௧௩௦௭௬௦ Thai ๑๓๐๗๖๐ Tibetan ༡༣༠༧༦༠ Khmer ១៣០៧៦០ Lao ໑໓໐໗໖໐ Burmese ၁၃၀၇၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130760, here are decompositions:

  • 31 + 130729 = 130760
  • 61 + 130699 = 130760
  • 67 + 130693 = 130760
  • 73 + 130687 = 130760
  • 79 + 130681 = 130760
  • 103 + 130657 = 130760
  • 109 + 130651 = 130760
  • 127 + 130633 = 130760

Showing the first eight; more decompositions exist.

Hex color
#01FEC8
RGB(1, 254, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.200.

Address
0.1.254.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.254.200

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 130,760 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 130760 first appears in π at position 302,963 of the decimal expansion (the 302,963ordinal-suffix:rd 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.