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513,136

513,136 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.).

513,136 (five hundred thirteen thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 2,467. Its proper divisors sum to 557,976, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D470.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
270
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
631,315
Square (n²)
263,308,554,496
Cube (n³)
135,113,098,419,859,456
Divisor count
20
σ(n) — sum of divisors
1,071,112
φ(n) — Euler's totient
236,736
Sum of prime factors
2,488

Primality

Prime factorization: 2 4 × 13 × 2467

Nearest primes: 513,131 (−5) · 513,137 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 2467 · 4934 · 9868 · 19736 · 32071 · 39472 · 64142 · 128284 · 256568 (half) · 513136
Aliquot sum (sum of proper divisors): 557,976
Factor pairs (a × b = 513,136)
1 × 513136
2 × 256568
4 × 128284
8 × 64142
13 × 39472
16 × 32071
26 × 19736
52 × 9868
104 × 4934
208 × 2467
First multiples
513,136 · 1,026,272 (double) · 1,539,408 · 2,052,544 · 2,565,680 · 3,078,816 · 3,591,952 · 4,105,088 · 4,618,224 · 5,131,360

Sums & aliquot sequence

As consecutive integers: 39,466 + 39,467 + … + 39,478 16,020 + 16,021 + … + 16,051 1,026 + 1,027 + … + 1,441
Aliquot sequence: 513,136 557,976 861,864 1,292,856 1,976,904 3,377,406 3,377,418 4,103,094 4,386,426 5,423,430 7,658,394 7,948,038 10,219,002 10,367,718 10,508,682 10,823,190 18,863,850 — unresolved within range

Continued fraction of √n

√513,136 = [716; (2, 1, 61, 1, 1, 1, 1, 1, 8, 2, 1, 1, 2, 4, 1, 4, 6, 1, 118, 1, 1, 8, 2, 4, …)]

Representations

In words
five hundred thirteen thousand one hundred thirty-six
Ordinal
513136th
Binary
1111101010001110000
Octal
1752160
Hexadecimal
0x7D470
Base64
B9Rw
One's complement
4,294,454,159 (32-bit)
Scientific notation
5.13136 × 10⁵
As a duration
513,136 s = 5 days, 22 hours, 32 minutes, 16 seconds
In other bases
ternary (3) 222001220001
quaternary (4) 1331101300
quinary (5) 112410021
senary (6) 14555344
septenary (7) 4235011
nonary (9) 861801
undecimal (11) 320588
duodecimal (12) 208b54
tridecimal (13) 14c740
tetradecimal (14) d5008
pentadecimal (15) a2091

As an angle

513,136° = 1,425 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγρλϛʹ
Chinese
五十一萬三千一百三十六
Chinese (financial)
伍拾壹萬參仟壹佰參拾陸
In other modern scripts
Eastern Arabic ٥١٣١٣٦ Devanagari ५१३१३६ Bengali ৫১৩১৩৬ Tamil ௫௧௩௧௩௬ Thai ๕๑๓๑๓๖ Tibetan ༥༡༣༡༣༦ Khmer ៥១៣១៣៦ Lao ໕໑໓໑໓໖ Burmese ၅၁၃၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513136, here are decompositions:

  • 5 + 513131 = 513136
  • 53 + 513083 = 513136
  • 83 + 513053 = 513136
  • 89 + 513047 = 513136
  • 137 + 512999 = 513136
  • 233 + 512903 = 513136
  • 293 + 512843 = 513136
  • 317 + 512819 = 513136

Showing the first eight; more decompositions exist.

Hex color
#07D470
RGB(7, 212, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.112.

Address
0.7.212.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.212.112

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 513,136 and was likely granted around 1893.

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

Position in π

The digit sequence 513136 first appears in π at position 168,686 of the decimal expansion (the 168,686ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.