number.wiki
Live analysis

130,680

130,680 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.).

130,680 (one hundred thirty thousand six hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3³ × 5 × 11². Its proper divisors sum to 348,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FE78.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
86,031
Square (n²)
17,077,262,400
Cube (n³)
2,231,656,650,432,000
Divisor count
96
σ(n) — sum of divisors
478,800
φ(n) — Euler's totient
31,680
Sum of prime factors
42

Primality

Prime factorization: 2 3 × 3 3 × 5 × 11 2

Nearest primes: 130,657 (−23) · 130,681 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 24 · 27 · 30 · 33 · 36 · 40 · 44 · 45 · 54 · 55 · 60 · 66 · 72 · 88 · 90 · 99 · 108 · 110 · 120 · 121 · 132 · 135 · 165 · 180 · 198 · 216 · 220 · 242 · 264 · 270 · 297 · 330 · 360 · 363 · 396 · 440 · 484 · 495 · 540 · 594 · 605 · 660 · 726 · 792 · 968 · 990 · 1080 · 1089 · 1188 · 1210 · 1320 · 1452 · 1485 · 1815 · 1980 · 2178 · 2376 · 2420 · 2904 · 2970 · 3267 · 3630 · 3960 · 4356 · 4840 · 5445 · 5940 · 6534 · 7260 · 8712 · 10890 · 11880 · 13068 · 14520 · 16335 · 21780 · 26136 · 32670 · 43560 · 65340 (half) · 130680
Aliquot sum (sum of proper divisors): 348,120
Factor pairs (a × b = 130,680)
1 × 130680
2 × 65340
3 × 43560
4 × 32670
5 × 26136
6 × 21780
8 × 16335
9 × 14520
10 × 13068
11 × 11880
12 × 10890
15 × 8712
18 × 7260
20 × 6534
22 × 5940
24 × 5445
27 × 4840
30 × 4356
33 × 3960
36 × 3630
40 × 3267
44 × 2970
45 × 2904
54 × 2420
55 × 2376
60 × 2178
66 × 1980
72 × 1815
88 × 1485
90 × 1452
99 × 1320
108 × 1210
110 × 1188
120 × 1089
121 × 1080
132 × 990
135 × 968
165 × 792
180 × 726
198 × 660
216 × 605
220 × 594
242 × 540
264 × 495
270 × 484
297 × 440
330 × 396
360 × 363
First multiples
130,680 · 261,360 (double) · 392,040 · 522,720 · 653,400 · 784,080 · 914,760 · 1,045,440 · 1,176,120 · 1,306,800

Sums & aliquot sequence

As consecutive integers: 43,559 + 43,560 + 43,561 26,134 + 26,135 + 26,136 + 26,137 + 26,138 14,516 + 14,517 + … + 14,524 11,875 + 11,876 + … + 11,885
Aliquot sequence: 130,680 348,120 784,440 1,766,160 4,733,424 8,854,496 11,427,472 13,876,464 27,093,136 32,899,056 55,741,104 100,945,296 181,561,734 236,942,586 294,136,794 441,042,534 514,944,498 — unresolved within range

Continued fraction of √n

√130,680 = [361; (2, 79, 1, 4, 1, 79, 2, 722)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand six hundred eighty
Ordinal
130680th
Binary
11111111001111000
Octal
377170
Hexadecimal
0x1FE78
Base64
Af54
One's complement
4,294,836,615 (32-bit)
Scientific notation
1.3068 × 10⁵
As a duration
130,680 s = 1 day, 12 hours, 18 minutes
In other bases
ternary (3) 20122021000
quaternary (4) 133321320
quinary (5) 13140210
senary (6) 2445000
septenary (7) 1052664
nonary (9) 218230
undecimal (11) 8a200
duodecimal (12) 63760
tridecimal (13) 47634
tetradecimal (14) 358a4
pentadecimal (15) 28ac0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλχπʹ
Mayan (base 20)
𝋰·𝋦·𝋮·𝋠
Chinese
一十三萬零六百八十
Chinese (financial)
壹拾參萬零陸佰捌拾
In other modern scripts
Eastern Arabic ١٣٠٦٨٠ Devanagari १३०६८० Bengali ১৩০৬৮০ Tamil ௧௩௦௬௮௦ Thai ๑๓๐๖๘๐ Tibetan ༡༣༠༦༨༠ Khmer ១៣០៦៨០ Lao ໑໓໐໖໘໐ Burmese ၁၃၀၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130680, here are decompositions:

  • 23 + 130657 = 130680
  • 29 + 130651 = 130680
  • 31 + 130649 = 130680
  • 37 + 130643 = 130680
  • 41 + 130639 = 130680
  • 47 + 130633 = 130680
  • 59 + 130621 = 130680
  • 61 + 130619 = 130680

Showing the first eight; more decompositions exist.

Hex color
#01FE78
RGB(1, 254, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.120.

Address
0.1.254.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.254.120

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 130,680 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°.