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130,208

130,208 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.).

130,208 (one hundred thirty thousand two hundred eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 13 × 313. Its proper divisors sum to 146,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FCA0.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
802,031
Square (n²)
16,954,123,264
Cube (n³)
2,207,562,481,958,912
Divisor count
24
σ(n) — sum of divisors
276,948
φ(n) — Euler's totient
59,904
Sum of prime factors
336

Primality

Prime factorization: 2 5 × 13 × 313

Nearest primes: 130,201 (−7) · 130,211 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 104 · 208 · 313 · 416 · 626 · 1252 · 2504 · 4069 · 5008 · 8138 · 10016 · 16276 · 32552 · 65104 (half) · 130208
Aliquot sum (sum of proper divisors): 146,740
Factor pairs (a × b = 130,208)
1 × 130208
2 × 65104
4 × 32552
8 × 16276
13 × 10016
16 × 8138
26 × 5008
32 × 4069
52 × 2504
104 × 1252
208 × 626
313 × 416
First multiples
130,208 · 260,416 (double) · 390,624 · 520,832 · 651,040 · 781,248 · 911,456 · 1,041,664 · 1,171,872 · 1,302,080

Sums & aliquot sequence

As a sum of two squares: 188² + 308² = 212² + 292²
As consecutive integers: 10,010 + 10,011 + … + 10,022 2,003 + 2,004 + … + 2,066 260 + 261 + … + 572
Aliquot sequence: 130,208 146,740 216,140 246,532 261,500 310,708 237,392 236,164 223,484 167,620 219,200 324,106 162,056 148,984 155,936 179,728 177,392 — unresolved within range

Continued fraction of √n

√130,208 = [360; (1, 5, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 5, 1, 720)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand two hundred eight
Ordinal
130208th
Binary
11111110010100000
Octal
376240
Hexadecimal
0x1FCA0
Base64
Afyg
One's complement
4,294,837,087 (32-bit)
Scientific notation
1.30208 × 10⁵
As a duration
130,208 s = 1 day, 12 hours, 10 minutes, 8 seconds
In other bases
ternary (3) 20121121112
quaternary (4) 133302200
quinary (5) 13131313
senary (6) 2442452
septenary (7) 1051421
nonary (9) 217545
undecimal (11) 89911
duodecimal (12) 63428
tridecimal (13) 47360
tetradecimal (14) 35648
pentadecimal (15) 288a8

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλσηʹ
Mayan (base 20)
𝋰·𝋥·𝋪·𝋨
Chinese
一十三萬零二百零八
Chinese (financial)
壹拾參萬零貳佰零捌
In other modern scripts
Eastern Arabic ١٣٠٢٠٨ Devanagari १३०२०८ Bengali ১৩০২০৮ Tamil ௧௩௦௨௦௮ Thai ๑๓๐๒๐๘ Tibetan ༡༣༠༢༠༨ Khmer ១៣០២០៨ Lao ໑໓໐໒໐໘ Burmese ၁၃၀၂၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130208, here are decompositions:

  • 7 + 130201 = 130208
  • 37 + 130171 = 130208
  • 61 + 130147 = 130208
  • 109 + 130099 = 130208
  • 139 + 130069 = 130208
  • 151 + 130057 = 130208
  • 157 + 130051 = 130208
  • 181 + 130027 = 130208

Showing the first eight; more decompositions exist.

Hex color
#01FCA0
RGB(1, 252, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.252.160.

Address
0.1.252.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.252.160

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 130,208 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 130208 first appears in π at position 286,170 of the decimal expansion (the 286,170ordinal-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.