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520,368

520,368 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.).

520,368 (five hundred twenty thousand three hundred sixty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 37 × 293. Its proper divisors sum to 864,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F0B0.

Abundant Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
863,025
Square (n²)
270,782,855,424
Cube (n³)
140,906,732,911,276,032
Divisor count
40
σ(n) — sum of divisors
1,385,328
φ(n) — Euler's totient
168,192
Sum of prime factors
341

Primality

Prime factorization: 2 4 × 3 × 37 × 293

Nearest primes: 520,363 (−5) · 520,369 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 37 · 48 · 74 · 111 · 148 · 222 · 293 · 296 · 444 · 586 · 592 · 879 · 888 · 1172 · 1758 · 1776 · 2344 · 3516 · 4688 · 7032 · 10841 · 14064 · 21682 · 32523 · 43364 · 65046 · 86728 · 130092 · 173456 · 260184 (half) · 520368
Aliquot sum (sum of proper divisors): 864,960
Factor pairs (a × b = 520,368)
1 × 520368
2 × 260184
3 × 173456
4 × 130092
6 × 86728
8 × 65046
12 × 43364
16 × 32523
24 × 21682
37 × 14064
48 × 10841
74 × 7032
111 × 4688
148 × 3516
222 × 2344
293 × 1776
296 × 1758
444 × 1172
586 × 888
592 × 879
First multiples
520,368 · 1,040,736 (double) · 1,561,104 · 2,081,472 · 2,601,840 · 3,122,208 · 3,642,576 · 4,162,944 · 4,683,312 · 5,203,680

Sums & aliquot sequence

As consecutive integers: 173,455 + 173,456 + 173,457 16,246 + 16,247 + … + 16,277 14,046 + 14,047 + … + 14,082 5,373 + 5,374 + … + 5,468
Aliquot sequence: 520,368 864,960 2,097,696 3,409,008 6,114,192 12,551,280 33,541,008 55,905,648 93,180,048 174,469,488 290,786,448 495,560,048 508,185,232 535,692,400 792,855,504 1,824,929,328 3,600,437,712 — unresolved within range

Continued fraction of √n

√520,368 = [721; (2, 1, 2, 1, 4, 29, 4, 3, 4, 1, 2, 1, 1, 3, 1, 2, 1, 1, 4, 2, 4, 1, 1, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand three hundred sixty-eight
Ordinal
520368th
Binary
1111111000010110000
Octal
1770260
Hexadecimal
0x7F0B0
Base64
B/Cw
One's complement
4,294,446,927 (32-bit)
Scientific notation
5.20368 × 10⁵
As a duration
520,368 s = 6 days, 32 minutes, 48 seconds
In other bases
ternary (3) 222102210220
quaternary (4) 1333002300
quinary (5) 113122433
senary (6) 15053040
septenary (7) 4265052
nonary (9) 872726
undecimal (11) 325a62
duodecimal (12) 211180
tridecimal (13) 152b14
tetradecimal (14) d78d2
pentadecimal (15) a42b3

As an angle

520,368° = 1,445 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκτξηʹ
Chinese
五十二萬零三百六十八
Chinese (financial)
伍拾貳萬零參佰陸拾捌
In other modern scripts
Eastern Arabic ٥٢٠٣٦٨ Devanagari ५२०३६८ Bengali ৫২০৩৬৮ Tamil ௫௨௦௩௬௮ Thai ๕๒๐๓๖๘ Tibetan ༥༢༠༣༦༨ Khmer ៥២០៣៦៨ Lao ໕໒໐໓໖໘ Burmese ၅၂၀၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520368, here are decompositions:

  • 5 + 520363 = 520368
  • 7 + 520361 = 520368
  • 11 + 520357 = 520368
  • 19 + 520349 = 520368
  • 29 + 520339 = 520368
  • 59 + 520309 = 520368
  • 61 + 520307 = 520368
  • 71 + 520297 = 520368

Showing the first eight; more decompositions exist.

Hex color
#07F0B0
RGB(7, 240, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.240.176.

Address
0.7.240.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.240.176

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 520,368 and was likely granted around 1894.

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

Position in π

The digit sequence 520368 first appears in π at position 666,391 of the decimal expansion (the 666,391ordinal-suffix:st 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°.