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130,572

130,572 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.).

130,572 (one hundred thirty thousand five hundred seventy-two) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2² × 3⁴ × 13 × 31. Its proper divisors sum to 248,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FE0C.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
275,031
Square (n²)
17,049,047,184
Cube (n³)
2,226,128,188,909,248
Divisor count
60
σ(n) — sum of divisors
379,456
φ(n) — Euler's totient
38,880
Sum of prime factors
60

Primality

Prime factorization: 2 2 × 3 4 × 13 × 31

Nearest primes: 130,553 (−19) · 130,579 (+7)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 27 · 31 · 36 · 39 · 52 · 54 · 62 · 78 · 81 · 93 · 108 · 117 · 124 · 156 · 162 · 186 · 234 · 279 · 324 · 351 · 372 · 403 · 468 · 558 · 702 · 806 · 837 · 1053 · 1116 · 1209 · 1404 · 1612 · 1674 · 2106 · 2418 · 2511 · 3348 · 3627 · 4212 · 4836 · 5022 · 7254 · 10044 · 10881 · 14508 · 21762 · 32643 · 43524 · 65286 (half) · 130572
Aliquot sum (sum of proper divisors): 248,884
Factor pairs (a × b = 130,572)
1 × 130572
2 × 65286
3 × 43524
4 × 32643
6 × 21762
9 × 14508
12 × 10881
13 × 10044
18 × 7254
26 × 5022
27 × 4836
31 × 4212
36 × 3627
39 × 3348
52 × 2511
54 × 2418
62 × 2106
78 × 1674
81 × 1612
93 × 1404
108 × 1209
117 × 1116
124 × 1053
156 × 837
162 × 806
186 × 702
234 × 558
279 × 468
324 × 403
351 × 372
First multiples
130,572 · 261,144 (double) · 391,716 · 522,288 · 652,860 · 783,432 · 914,004 · 1,044,576 · 1,175,148 · 1,305,720

Sums & aliquot sequence

As consecutive integers: 43,523 + 43,524 + 43,525 16,318 + 16,319 + … + 16,325 14,504 + 14,505 + … + 14,512 10,038 + 10,039 + … + 10,050
Aliquot sequence: 130,572 248,884 197,100 445,220 502,804 382,080 841,920 1,834,224 3,736,848 6,008,560 9,169,040 12,149,164 9,175,580 11,227,348 10,369,990 8,801,162 4,419,094 — unresolved within range

Continued fraction of √n

√130,572 = [361; (2, 1, 7, 5, 3, 3, 2, 1, 2, 19, 1, 2, 2, 1, 1, 1, 2, 1, 6, 4, 2, 4, 1, 79, …)]

Representations

In words
one hundred thirty thousand five hundred seventy-two
Ordinal
130572nd
Binary
11111111000001100
Octal
377014
Hexadecimal
0x1FE0C
Base64
Af4M
One's complement
4,294,836,723 (32-bit)
Scientific notation
1.30572 × 10⁵
As a duration
130,572 s = 1 day, 12 hours, 16 minutes, 12 seconds
In other bases
ternary (3) 20122010000
quaternary (4) 133320030
quinary (5) 13134242
senary (6) 2444300
septenary (7) 1052451
nonary (9) 218100
undecimal (11) 8a112
duodecimal (12) 63690
tridecimal (13) 47580
tetradecimal (14) 35828
pentadecimal (15) 28a4c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλφοβʹ
Mayan (base 20)
𝋰·𝋦·𝋨·𝋬
Chinese
一十三萬零五百七十二
Chinese (financial)
壹拾參萬零伍佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٠٥٧٢ Devanagari १३०५७२ Bengali ১৩০৫৭২ Tamil ௧௩௦௫௭௨ Thai ๑๓๐๕๗๒ Tibetan ༡༣༠༥༧༢ Khmer ១៣០៥៧២ Lao ໑໓໐໕໗໒ Burmese ၁၃၀၅၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130572, here are decompositions:

  • 19 + 130553 = 130572
  • 41 + 130531 = 130572
  • 59 + 130513 = 130572
  • 83 + 130489 = 130572
  • 89 + 130483 = 130572
  • 103 + 130469 = 130572
  • 149 + 130423 = 130572
  • 163 + 130409 = 130572

Showing the first eight; more decompositions exist.

Hex color
#01FE0C
RGB(1, 254, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.12.

Address
0.1.254.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.254.12

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 130,572 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 130572 first appears in π at position 27,462 of the decimal expansion (the 27,462ordinal-suffix:nd 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

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