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130,640

130,640 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.).

130,640 (one hundred thirty thousand six hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 23 × 71. Its proper divisors sum to 190,768, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FE50.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
46,031
Square (n²)
17,066,809,600
Cube (n³)
2,229,608,006,144,000
Divisor count
40
σ(n) — sum of divisors
321,408
φ(n) — Euler's totient
49,280
Sum of prime factors
107

Primality

Prime factorization: 2 4 × 5 × 23 × 71

Nearest primes: 130,639 (−1) · 130,643 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 23 · 40 · 46 · 71 · 80 · 92 · 115 · 142 · 184 · 230 · 284 · 355 · 368 · 460 · 568 · 710 · 920 · 1136 · 1420 · 1633 · 1840 · 2840 · 3266 · 5680 · 6532 · 8165 · 13064 · 16330 · 26128 · 32660 · 65320 (half) · 130640
Aliquot sum (sum of proper divisors): 190,768
Factor pairs (a × b = 130,640)
1 × 130640
2 × 65320
4 × 32660
5 × 26128
8 × 16330
10 × 13064
16 × 8165
20 × 6532
23 × 5680
40 × 3266
46 × 2840
71 × 1840
80 × 1633
92 × 1420
115 × 1136
142 × 920
184 × 710
230 × 568
284 × 460
355 × 368
First multiples
130,640 · 261,280 (double) · 391,920 · 522,560 · 653,200 · 783,840 · 914,480 · 1,045,120 · 1,175,760 · 1,306,400

Sums & aliquot sequence

As consecutive integers: 26,126 + 26,127 + 26,128 + 26,129 + 26,130 5,669 + 5,670 + … + 5,691 4,067 + 4,068 + … + 4,098 1,805 + 1,806 + … + 1,875
Aliquot sequence: 130,640 190,768 178,876 137,132 102,856 118,904 107,896 94,424 110,776 101,264 94,966 49,178 25,894 17,198 8,602 6,950 6,070 — unresolved within range

Continued fraction of √n

√130,640 = [361; (2, 3, 1, 3, 2, 722)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand six hundred forty
Ordinal
130640th
Binary
11111111001010000
Octal
377120
Hexadecimal
0x1FE50
Base64
Af5Q
One's complement
4,294,836,655 (32-bit)
Scientific notation
1.3064 × 10⁵
As a duration
130,640 s = 1 day, 12 hours, 17 minutes, 20 seconds
In other bases
ternary (3) 20122012112
quaternary (4) 133321100
quinary (5) 13140030
senary (6) 2444452
septenary (7) 1052606
nonary (9) 218175
undecimal (11) 8a174
duodecimal (12) 63728
tridecimal (13) 47603
tetradecimal (14) 35876
pentadecimal (15) 28a95

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλχμʹ
Mayan (base 20)
𝋰·𝋦·𝋬·𝋠
Chinese
一十三萬零六百四十
Chinese (financial)
壹拾參萬零陸佰肆拾
In other modern scripts
Eastern Arabic ١٣٠٦٤٠ Devanagari १३०६४० Bengali ১৩০৬৪০ Tamil ௧௩௦௬௪௦ Thai ๑๓๐๖๔๐ Tibetan ༡༣༠༦༤༠ Khmer ១៣០៦៤០ Lao ໑໓໐໖໔໐ Burmese ၁၃၀၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130640, here are decompositions:

  • 7 + 130633 = 130640
  • 19 + 130621 = 130640
  • 61 + 130579 = 130640
  • 109 + 130531 = 130640
  • 127 + 130513 = 130640
  • 151 + 130489 = 130640
  • 157 + 130483 = 130640
  • 163 + 130477 = 130640

Showing the first eight; more decompositions exist.

Hex color
#01FE50
RGB(1, 254, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.80.

Address
0.1.254.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.254.80

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 130,640 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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