Live analysis

130,080

130,080 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.).

130,080 (one hundred thirty thousand eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 271. Its proper divisors sum to 281,184, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FC20.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

130,068 130,069 130,070 130,071 130,072 130,073 130,074 130,075 130,076 130,077 130,078 130,079 130,080 130,081 130,082 130,083 130,084 130,085 130,086 130,087 130,088 130,089 130,090 130,091 130,092

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 80,031
Recamán's sequence: a(33,916) = 130,080
Square (n²): 16,920,806,400
Cube (n³): 2,201,058,496,512,000
Divisor count: 48
σ(n) — sum of divisors: 411,264
φ(n) — Euler's totient: 34,560
Sum of prime factors: 289

Primality

Prime factorization: 2 ⁵ × 3 × 5 × 271

Nearest primes: 130,079 (−1) · 130,087 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 240 · 271 · 480 · 542 · 813 · 1084 · 1355 · 1626 · 2168 · 2710 · 3252 · 4065 · 4336 · 5420 · 6504 · 8130 · 8672 · 10840 · 13008 · 16260 · 21680 · 26016 · 32520 · 43360 · 65040 (half) · 130080

Aliquot sum (sum of proper divisors): 281,184

Factor pairs (a × b = 130,080)

1 × 130080

2 × 65040

3 × 43360

4 × 32520

5 × 26016

6 × 21680

8 × 16260

10 × 13008

12 × 10840

15 × 8672

16 × 8130

20 × 6504

24 × 5420

30 × 4336

32 × 4065

40 × 3252

48 × 2710

60 × 2168

80 × 1626

96 × 1355

120 × 1084

160 × 813

240 × 542

271 × 480

First multiples

130,080 · 260,160 (double) · 390,240 · 520,320 · 650,400 · 780,480 · 910,560 · 1,040,640 · 1,170,720 · 1,300,800

Sums & aliquot sequence

As consecutive integers: 43,359 + 43,360 + 43,361 26,014 + 26,015 + 26,016 + 26,017 + 26,018 8,665 + 8,666 + … + 8,679 2,001 + 2,002 + … + 2,064

Aliquot sequence: 130,080 → 281,184 → 489,936 → 804,624 → 1,274,112 → 2,977,408 → 3,803,552 → 3,684,754 → 1,842,380 → 2,026,660 → 2,229,368 → 1,950,712 → 1,706,888 → 1,493,542 → 807,434 → 403,720 → 504,740 — unresolved within range

Continued fraction of √n

√130,080 = [360; (1, 1, 1, 179, 1, 1, 1, 720)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty thousand eighty
Ordinal: 130080th
Binary: 11111110000100000
Octal: 376040
Hexadecimal: 0x1FC20
Base64: Afwg
One's complement: 4,294,837,215 (32-bit)
Scientific notation: 1.3008 × 10⁵
As a duration: 130,080 s = 1 day, 12 hours, 8 minutes

In other bases

ternary (3) 20121102210

quaternary (4) 133300200

quinary (5) 13130310

senary (6) 2442120

septenary (7) 1051146

nonary (9) 217383

undecimal (11) 89805

duodecimal (12) 63340

tridecimal (13) 47292

tetradecimal (14) 35596

pentadecimal (15) 28820

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρλπʹ
Mayan (base 20): 𝋰·𝋥·𝋤·𝋠
Chinese: 一十三萬零八十
Chinese (financial): 壹拾參萬零捌拾

In other modern scripts

Eastern Arabic ١٣٠٠٨٠ Devanagari १३००८० Bengali ১৩০০৮০ Tamil ௧௩௦௦௮௦ Thai ๑๓๐๐๘๐ Tibetan ༡༣༠༠༨༠ Khmer ១៣០០៨០ Lao ໑໓໐໐໘໐ Burmese ၁၃၀၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130080, here are decompositions:

7 + 130073 = 130080
11 + 130069 = 130080
23 + 130057 = 130080
29 + 130051 = 130080
37 + 130043 = 130080
53 + 130027 = 130080
59 + 130021 = 130080
109 + 129971 = 130080

Showing the first eight; more decompositions exist.

Hex color

#01FC20

RGB(1, 252, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.252.32.

Address: 0.1.252.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.252.32

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 130,080 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 US130,080 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 130080 first appears in π at position 731,026 of the decimal expansion (the 731,026ordinal-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.

Look up 130080 on Pi Search ↗