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130,364

130,364 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.).

130,364 (one hundred thirty thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 23 × 109. Written other ways, in hexadecimal, 0x1FD3C.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
463,031
Square (n²)
16,994,772,496
Cube (n³)
2,215,506,521,668,544
Divisor count
24
σ(n) — sum of divisors
258,720
φ(n) — Euler's totient
57,024
Sum of prime factors
149

Primality

Prime factorization: 2 2 × 13 × 23 × 109

Nearest primes: 130,363 (−1) · 130,367 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 23 · 26 · 46 · 52 · 92 · 109 · 218 · 299 · 436 · 598 · 1196 · 1417 · 2507 · 2834 · 5014 · 5668 · 10028 · 32591 · 65182 (half) · 130364
Aliquot sum (sum of proper divisors): 128,356
Factor pairs (a × b = 130,364)
1 × 130364
2 × 65182
4 × 32591
13 × 10028
23 × 5668
26 × 5014
46 × 2834
52 × 2507
92 × 1417
109 × 1196
218 × 598
299 × 436
First multiples
130,364 · 260,728 (double) · 391,092 · 521,456 · 651,820 · 782,184 · 912,548 · 1,042,912 · 1,173,276 · 1,303,640

Sums & aliquot sequence

As consecutive integers: 16,292 + 16,293 + … + 16,299 10,022 + 10,023 + … + 10,034 5,657 + 5,658 + … + 5,679 1,202 + 1,203 + … + 1,305
Aliquot sequence: 130,364 128,356 96,274 52,154 27,226 13,616 14,656 14,554 8,486 4,246 2,738 1,483 1 0 — terminates at zero

Continued fraction of √n

√130,364 = [361; (16, 1, 3, 1, 4, 3, 1, 28, 8, 5, 1, 5, 2, 1, 1, 2, 1, 6, 4, 1, 1, 24, 2, 1, …)]

Representations

In words
one hundred thirty thousand three hundred sixty-four
Ordinal
130364th
Binary
11111110100111100
Octal
376474
Hexadecimal
0x1FD3C
Base64
Af08
One's complement
4,294,836,931 (32-bit)
Scientific notation
1.30364 × 10⁵
As a duration
130,364 s = 1 day, 12 hours, 12 minutes, 44 seconds
In other bases
ternary (3) 20121211022
quaternary (4) 133310330
quinary (5) 13132424
senary (6) 2443312
septenary (7) 1052033
nonary (9) 217738
undecimal (11) 89a43
duodecimal (12) 63538
tridecimal (13) 47450
tetradecimal (14) 3571a
pentadecimal (15) 2895e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλτξδʹ
Mayan (base 20)
𝋰·𝋥·𝋲·𝋤
Chinese
一十三萬零三百六十四
Chinese (financial)
壹拾參萬零參佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٠٣٦٤ Devanagari १३०३६४ Bengali ১৩০৩৬৪ Tamil ௧௩௦௩௬௪ Thai ๑๓๐๓๖๔ Tibetan ༡༣༠༣༦༤ Khmer ១៣០៣៦៤ Lao ໑໓໐໓໖໔ Burmese ၁၃၀၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130364, here are decompositions:

  • 61 + 130303 = 130364
  • 97 + 130267 = 130364
  • 103 + 130261 = 130364
  • 163 + 130201 = 130364
  • 181 + 130183 = 130364
  • 193 + 130171 = 130364
  • 277 + 130087 = 130364
  • 307 + 130057 = 130364

Showing the first eight; more decompositions exist.

Hex color
#01FD3C
RGB(1, 253, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.253.60.

Address
0.1.253.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.253.60

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 130,364 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 130364 first appears in π at position 578,640 of the decimal expansion (the 578,640ordinal-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.