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520,608

520,608 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.).

520,608 (five hundred twenty thousand six hundred eight) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 11 × 17 × 29. Its proper divisors sum to 1,112,352, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F1A0.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
806,025
Square (n²)
271,032,689,664
Cube (n³)
141,101,786,500,595,712
Divisor count
96
σ(n) — sum of divisors
1,632,960
φ(n) — Euler's totient
143,360
Sum of prime factors
70

Primality

Prime factorization: 2 5 × 3 × 11 × 17 × 29

Nearest primes: 520,607 (−1) · 520,609 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 17 · 22 · 24 · 29 · 32 · 33 · 34 · 44 · 48 · 51 · 58 · 66 · 68 · 87 · 88 · 96 · 102 · 116 · 132 · 136 · 174 · 176 · 187 · 204 · 232 · 264 · 272 · 319 · 348 · 352 · 374 · 408 · 464 · 493 · 528 · 544 · 561 · 638 · 696 · 748 · 816 · 928 · 957 · 986 · 1056 · 1122 · 1276 · 1392 · 1479 · 1496 · 1632 · 1914 · 1972 · 2244 · 2552 · 2784 · 2958 · 2992 · 3828 · 3944 · 4488 · 5104 · 5423 · 5916 · 5984 · 7656 · 7888 · 8976 · 10208 · 10846 · 11832 · 15312 · 15776 · 16269 · 17952 · 21692 · 23664 · 30624 · 32538 · 43384 · 47328 · 65076 · 86768 · 130152 · 173536 · 260304 (half) · 520608
Aliquot sum (sum of proper divisors): 1,112,352
Factor pairs (a × b = 520,608)
1 × 520608
2 × 260304
3 × 173536
4 × 130152
6 × 86768
8 × 65076
11 × 47328
12 × 43384
16 × 32538
17 × 30624
22 × 23664
24 × 21692
29 × 17952
32 × 16269
33 × 15776
34 × 15312
44 × 11832
48 × 10846
51 × 10208
58 × 8976
66 × 7888
68 × 7656
87 × 5984
88 × 5916
96 × 5423
102 × 5104
116 × 4488
132 × 3944
136 × 3828
174 × 2992
176 × 2958
187 × 2784
204 × 2552
232 × 2244
264 × 1972
272 × 1914
319 × 1632
348 × 1496
352 × 1479
374 × 1392
408 × 1276
464 × 1122
493 × 1056
528 × 986
544 × 957
561 × 928
638 × 816
696 × 748
First multiples
520,608 · 1,041,216 (double) · 1,561,824 · 2,082,432 · 2,603,040 · 3,123,648 · 3,644,256 · 4,164,864 · 4,685,472 · 5,206,080

Sums & aliquot sequence

As consecutive integers: 173,535 + 173,536 + 173,537 47,323 + 47,324 + … + 47,333 30,616 + 30,617 + … + 30,632 17,938 + 17,939 + … + 17,966
Aliquot sequence: 520,608 1,112,352 1,807,824 2,862,512 2,683,636 2,260,044 3,544,300 4,615,768 4,098,392 3,609,568 3,496,832 3,883,888 4,218,272 4,226,500 5,208,380 5,729,260 6,936,260 — unresolved within range

Continued fraction of √n

√520,608 = [721; (1, 1, 7, 2, 1, 1, 2, 6, 1, 42, 1, 6, 2, 1, 1, 2, 7, 1, 1, 1442)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand six hundred eight
Ordinal
520608th
Binary
1111111000110100000
Octal
1770640
Hexadecimal
0x7F1A0
Base64
B/Gg
One's complement
4,294,446,687 (32-bit)
Scientific notation
5.20608 × 10⁵
As a duration
520,608 s = 6 days, 36 minutes, 48 seconds
In other bases
ternary (3) 222110010210
quaternary (4) 1333012200
quinary (5) 113124413
senary (6) 15054120
septenary (7) 4265544
nonary (9) 873123
undecimal (11) 326160
duodecimal (12) 211340
tridecimal (13) 152c6a
tetradecimal (14) d7a24
pentadecimal (15) a43c3

As an angle

520,608° = 1,446 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκχηʹ
Chinese
五十二萬零六百零八
Chinese (financial)
伍拾貳萬零陸佰零捌
In other modern scripts
Eastern Arabic ٥٢٠٦٠٨ Devanagari ५२०६०८ Bengali ৫২০৬০৮ Tamil ௫௨௦௬௦௮ Thai ๕๒๐๖๐๘ Tibetan ༥༢༠༦༠༨ Khmer ៥២០៦០៨ Lao ໕໒໐໖໐໘ Burmese ၅၂၀၆၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520608, here are decompositions:

  • 19 + 520589 = 520608
  • 37 + 520571 = 520608
  • 41 + 520567 = 520608
  • 59 + 520549 = 520608
  • 61 + 520547 = 520608
  • 79 + 520529 = 520608
  • 157 + 520451 = 520608
  • 181 + 520427 = 520608

Showing the first eight; more decompositions exist.

Hex color
#07F1A0
RGB(7, 241, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.241.160.

Address
0.7.241.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.241.160

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 520,608 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 520608 first appears in π at position 366,087 of the decimal expansion (the 366,087ordinal-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°.