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130,040

130,040 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.).

130,040 (one hundred thirty thousand forty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,251. Its proper divisors sum to 162,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FBF8.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
40,031
Recamán's sequence
a(33,836) = 130,040
Square (n²)
16,910,401,600
Cube (n³)
2,199,028,624,064,000
Divisor count
16
σ(n) — sum of divisors
292,680
φ(n) — Euler's totient
52,000
Sum of prime factors
3,262

Primality

Prime factorization: 2 3 × 5 × 3251

Nearest primes: 130,027 (−13) · 130,043 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 3251 · 6502 · 13004 · 16255 · 26008 · 32510 · 65020 (half) · 130040
Aliquot sum (sum of proper divisors): 162,640
Factor pairs (a × b = 130,040)
1 × 130040
2 × 65020
4 × 32510
5 × 26008
8 × 16255
10 × 13004
20 × 6502
40 × 3251
First multiples
130,040 · 260,080 (double) · 390,120 · 520,160 · 650,200 · 780,240 · 910,280 · 1,040,320 · 1,170,360 · 1,300,400

Sums & aliquot sequence

As consecutive integers: 26,006 + 26,007 + 26,008 + 26,009 + 26,010 8,120 + 8,121 + … + 8,135 1,586 + 1,587 + … + 1,665
Aliquot sequence: 130,040 162,640 239,120 418,204 313,660 345,068 262,924 197,200 321,740 353,956 272,012 240,724 218,924 167,476 128,624 120,616 105,554 — unresolved within range

Continued fraction of √n

√130,040 = [360; (1, 1, 1, 1, 3, 5, 1, 2, 6, 1, 1, 2, 1, 1, 12, 3, 2, 1, 2, 3, 1, 8, 1, 2, …)]

Representations

In words
one hundred thirty thousand forty
Ordinal
130040th
Binary
11111101111111000
Octal
375770
Hexadecimal
0x1FBF8
Base64
Afv4
One's complement
4,294,837,255 (32-bit)
Scientific notation
1.3004 × 10⁵
As a duration
130,040 s = 1 day, 12 hours, 7 minutes, 20 seconds
In other bases
ternary (3) 20121101022
quaternary (4) 133233320
quinary (5) 13130130
senary (6) 2442012
septenary (7) 1051061
nonary (9) 217338
undecimal (11) 89779
duodecimal (12) 63308
tridecimal (13) 47261
tetradecimal (14) 35568
pentadecimal (15) 287e5

As an angle

130,040° = 361 × 360° + 80°
80° ≈ 1.396 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλμʹ
Mayan (base 20)
𝋰·𝋥·𝋢·𝋠
Chinese
一十三萬零四十
Chinese (financial)
壹拾參萬零肆拾
In other modern scripts
Eastern Arabic ١٣٠٠٤٠ Devanagari १३००४० Bengali ১৩০০৪০ Tamil ௧௩௦௦௪௦ Thai ๑๓๐๐๔๐ Tibetan ༡༣༠༠༤༠ Khmer ១៣០០៤០ Lao ໑໓໐໐໔໐ Burmese ၁၃၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130040, here are decompositions:

  • 13 + 130027 = 130040
  • 19 + 130021 = 130040
  • 37 + 130003 = 130040
  • 73 + 129967 = 130040
  • 103 + 129937 = 130040
  • 139 + 129901 = 130040
  • 199 + 129841 = 130040
  • 271 + 129769 = 130040

Showing the first eight; more decompositions exist.

Unicode codepoint
🯸
Segmented Digit Eight
U+1FBF8
Decimal digit (Nd)

UTF-8 encoding: F0 9F AF B8 (4 bytes).

Hex color
#01FBF8
RGB(1, 251, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.251.248.

Address
0.1.251.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.251.248

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 130,040 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 130040 first appears in π at position 449,947 of the decimal expansion (the 449,947ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.