Live analysis

130,800

130,800 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.).

130,800 (one hundred thirty thousand eight hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 5² × 109. Its proper divisors sum to 292,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FEF0.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

130,788 130,789 130,790 130,791 130,792 130,793 130,794 130,795 130,796 130,797 130,798 130,799 130,800 130,801 130,802 130,803 130,804 130,805 130,806 130,807 130,808 130,809 130,810 130,811 130,812

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 8,031
Square (n²): 17,108,640,000
Cube (n³): 2,237,810,112,000,000
Divisor count: 60
σ(n) — sum of divisors: 422,840
φ(n) — Euler's totient: 34,560
Sum of prime factors: 130

Primality

Prime factorization: 2 ⁴ × 3 × 5 ² × 109

Nearest primes: 130,787 (−13) · 130,807 (+7)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 40 · 48 · 50 · 60 · 75 · 80 · 100 · 109 · 120 · 150 · 200 · 218 · 240 · 300 · 327 · 400 · 436 · 545 · 600 · 654 · 872 · 1090 · 1200 · 1308 · 1635 · 1744 · 2180 · 2616 · 2725 · 3270 · 4360 · 5232 · 5450 · 6540 · 8175 · 8720 · 10900 · 13080 · 16350 · 21800 · 26160 · 32700 · 43600 · 65400 (half) · 130800

Aliquot sum (sum of proper divisors): 292,040

Factor pairs (a × b = 130,800)

1 × 130800

2 × 65400

3 × 43600

4 × 32700

5 × 26160

6 × 21800

8 × 16350

10 × 13080

12 × 10900

15 × 8720

16 × 8175

20 × 6540

24 × 5450

25 × 5232

30 × 4360

40 × 3270

48 × 2725

50 × 2616

60 × 2180

75 × 1744

80 × 1635

100 × 1308

109 × 1200

120 × 1090

150 × 872

200 × 654

218 × 600

240 × 545

300 × 436

327 × 400

First multiples

130,800 · 261,600 (double) · 392,400 · 523,200 · 654,000 · 784,800 · 915,600 · 1,046,400 · 1,177,200 · 1,308,000

Sums & aliquot sequence

As consecutive integers: 43,599 + 43,600 + 43,601 26,158 + 26,159 + 26,160 + 26,161 + 26,162 8,713 + 8,714 + … + 8,727 5,220 + 5,221 + … + 5,244

Aliquot sequence: 130,800 → 292,040 → 477,460 → 525,248 → 556,792 → 501,608 → 438,922 → 292,022 → 146,014 → 92,954 → 46,480 → 78,512 → 95,584 → 100,976 → 94,696 → 121,304 → 110,896 — unresolved within range

Continued fraction of √n

√130,800 = [361; (1, 1, 1, 28, 3, 1, 3, 28, 1, 1, 1, 722)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty thousand eight hundred
Ordinal: 130800th
Binary: 11111111011110000
Octal: 377360
Hexadecimal: 0x1FEF0
Base64: Af7w
One's complement: 4,294,836,495 (32-bit)
Scientific notation: 1.308 × 10⁵
As a duration: 130,800 s = 1 day, 12 hours, 20 minutes

In other bases

ternary (3) 20122102110

quaternary (4) 133323300

quinary (5) 13141200

senary (6) 2445320

septenary (7) 1053225

nonary (9) 218373

undecimal (11) 8a2aa

duodecimal (12) 63840

tridecimal (13) 476c7

tetradecimal (14) 3594c

pentadecimal (15) 28b50

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ρλωʹ
Mayan (base 20): 𝋰·𝋧·𝋠·𝋠
Chinese: 一十三萬零八百
Chinese (financial): 壹拾參萬零捌佰

In other modern scripts

Eastern Arabic ١٣٠٨٠٠ Devanagari १३०८०० Bengali ১৩০৮০০ Tamil ௧௩௦௮௦௦ Thai ๑๓๐๘๐๐ Tibetan ༡༣༠༨༠༠ Khmer ១៣០៨០០ Lao ໑໓໐໘໐໐ Burmese ၁၃၀၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130800, here are decompositions:

13 + 130787 = 130800
17 + 130783 = 130800
31 + 130769 = 130800
71 + 130729 = 130800
101 + 130699 = 130800
107 + 130693 = 130800
113 + 130687 = 130800
149 + 130651 = 130800

Showing the first eight; more decompositions exist.

Hex color

#01FEF0

RGB(1, 254, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.240.

Address: 0.1.254.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.254.240

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 130,800 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US130,800 on Google Patents ↗ Look up on USPTO ↗