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130,784

130,784 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.).

130,784 (one hundred thirty thousand seven hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 61 × 67. Its proper divisors sum to 134,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FEE0.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
487,031
Square (n²)
17,104,454,656
Cube (n³)
2,236,988,997,730,304
Divisor count
24
σ(n) — sum of divisors
265,608
φ(n) — Euler's totient
63,360
Sum of prime factors
138

Primality

Prime factorization: 2 5 × 61 × 67

Nearest primes: 130,783 (−1) · 130,787 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 61 · 67 · 122 · 134 · 244 · 268 · 488 · 536 · 976 · 1072 · 1952 · 2144 · 4087 · 8174 · 16348 · 32696 · 65392 (half) · 130784
Aliquot sum (sum of proper divisors): 134,824
Factor pairs (a × b = 130,784)
1 × 130784
2 × 65392
4 × 32696
8 × 16348
16 × 8174
32 × 4087
61 × 2144
67 × 1952
122 × 1072
134 × 976
244 × 536
268 × 488
First multiples
130,784 · 261,568 (double) · 392,352 · 523,136 · 653,920 · 784,704 · 915,488 · 1,046,272 · 1,177,056 · 1,307,840

Sums & aliquot sequence

As consecutive integers: 2,114 + 2,115 + … + 2,174 2,012 + 2,013 + … + 2,075 1,919 + 1,920 + … + 1,985
Aliquot sequence: 130,784 134,824 131,576 115,144 107,156 114,604 114,660 321,048 770,952 1,607,928 3,265,032 4,897,608 7,346,472 14,021,688 21,459,912 33,205,368 61,667,592 — unresolved within range

Continued fraction of √n

√130,784 = [361; (1, 1, 1, 3, 1, 1, 1, 1, 2, 2, 2, 1, 1, 28, 2, 1, 8, 2, 1, 2, 3, 9, 1, 1, …)]

Representations

In words
one hundred thirty thousand seven hundred eighty-four
Ordinal
130784th
Binary
11111111011100000
Octal
377340
Hexadecimal
0x1FEE0
Base64
Af7g
One's complement
4,294,836,511 (32-bit)
Scientific notation
1.30784 × 10⁵
As a duration
130,784 s = 1 day, 12 hours, 19 minutes, 44 seconds
In other bases
ternary (3) 20122101212
quaternary (4) 133323200
quinary (5) 13141114
senary (6) 2445252
septenary (7) 1053203
nonary (9) 218355
undecimal (11) 8a295
duodecimal (12) 63828
tridecimal (13) 476b4
tetradecimal (14) 3593a
pentadecimal (15) 28b3e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλψπδʹ
Mayan (base 20)
𝋰·𝋦·𝋳·𝋤
Chinese
一十三萬零七百八十四
Chinese (financial)
壹拾參萬零柒佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٠٧٨٤ Devanagari १३०७८४ Bengali ১৩০৭৮৪ Tamil ௧௩௦௭௮௪ Thai ๑๓๐๗๘๔ Tibetan ༡༣༠༧༨༤ Khmer ១៣០៧៨៤ Lao ໑໓໐໗໘໔ Burmese ၁၃၀၇၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130784, here are decompositions:

  • 97 + 130687 = 130784
  • 103 + 130681 = 130784
  • 127 + 130657 = 130784
  • 151 + 130633 = 130784
  • 163 + 130621 = 130784
  • 271 + 130513 = 130784
  • 307 + 130477 = 130784
  • 337 + 130447 = 130784

Showing the first eight; more decompositions exist.

Hex color
#01FEE0
RGB(1, 254, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.224.

Address
0.1.254.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.254.224

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 130,784 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.