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130,272

130,272 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.).

130,272 (one hundred thirty thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 23 × 59. Its proper divisors sum to 232,608, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FCE0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
272,031
Square (n²)
16,970,793,984
Cube (n³)
2,210,819,273,883,648
Divisor count
48
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
40,832
Sum of prime factors
95

Primality

Prime factorization: 2 5 × 3 × 23 × 59

Nearest primes: 130,267 (−5) · 130,279 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 23 · 24 · 32 · 46 · 48 · 59 · 69 · 92 · 96 · 118 · 138 · 177 · 184 · 236 · 276 · 354 · 368 · 472 · 552 · 708 · 736 · 944 · 1104 · 1357 · 1416 · 1888 · 2208 · 2714 · 2832 · 4071 · 5428 · 5664 · 8142 · 10856 · 16284 · 21712 · 32568 · 43424 · 65136 (half) · 130272
Aliquot sum (sum of proper divisors): 232,608
Factor pairs (a × b = 130,272)
1 × 130272
2 × 65136
3 × 43424
4 × 32568
6 × 21712
8 × 16284
12 × 10856
16 × 8142
23 × 5664
24 × 5428
32 × 4071
46 × 2832
48 × 2714
59 × 2208
69 × 1888
92 × 1416
96 × 1357
118 × 1104
138 × 944
177 × 736
184 × 708
236 × 552
276 × 472
354 × 368
First multiples
130,272 · 260,544 (double) · 390,816 · 521,088 · 651,360 · 781,632 · 911,904 · 1,042,176 · 1,172,448 · 1,302,720

Sums & aliquot sequence

As consecutive integers: 43,423 + 43,424 + 43,425 5,653 + 5,654 + … + 5,675 2,179 + 2,180 + … + 2,237 2,004 + 2,005 + … + 2,067
Aliquot sequence: 130,272 232,608 378,240 833,520 1,880,592 3,892,848 6,163,800 12,945,840 32,051,280 68,567,280 143,992,032 258,804,768 420,558,000 982,655,760 2,260,029,552 4,264,552,848 6,752,208,800 — unresolved within range

Continued fraction of √n

√130,272 = [360; (1, 13, 1, 2, 1, 2, 1, 179, 1, 2, 1, 2, 1, 13, 1, 720)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand two hundred seventy-two
Ordinal
130272nd
Binary
11111110011100000
Octal
376340
Hexadecimal
0x1FCE0
Base64
Afzg
One's complement
4,294,837,023 (32-bit)
Scientific notation
1.30272 × 10⁵
As a duration
130,272 s = 1 day, 12 hours, 11 minutes, 12 seconds
In other bases
ternary (3) 20121200220
quaternary (4) 133303200
quinary (5) 13132042
senary (6) 2443040
septenary (7) 1051542
nonary (9) 217626
undecimal (11) 8996a
duodecimal (12) 63480
tridecimal (13) 473ac
tetradecimal (14) 35692
pentadecimal (15) 288ec

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλσοβʹ
Mayan (base 20)
𝋰·𝋥·𝋭·𝋬
Chinese
一十三萬零二百七十二
Chinese (financial)
壹拾參萬零貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٠٢٧٢ Devanagari १३०२७२ Bengali ১৩০২৭২ Tamil ௧௩௦௨௭௨ Thai ๑๓๐๒๗๒ Tibetan ༡༣༠༢༧༢ Khmer ១៣០២៧២ Lao ໑໓໐໒໗໒ Burmese ၁၃၀၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130272, here are decompositions:

  • 5 + 130267 = 130272
  • 11 + 130261 = 130272
  • 13 + 130259 = 130272
  • 19 + 130253 = 130272
  • 31 + 130241 = 130272
  • 61 + 130211 = 130272
  • 71 + 130201 = 130272
  • 73 + 130199 = 130272

Showing the first eight; more decompositions exist.

Hex color
#01FCE0
RGB(1, 252, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.252.224.

Address
0.1.252.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.252.224

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 130,272 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.