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520,688

520,688 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.).

520,688 (five hundred twenty thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 4,649. Its proper divisors sum to 632,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F1F0.

Abundant Number Arithmetic Number Evil Number Happy Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
886,025
Square (n²)
271,115,993,344
Cube (n³)
141,166,844,342,300,672
Divisor count
20
σ(n) — sum of divisors
1,153,200
φ(n) — Euler's totient
223,104
Sum of prime factors
4,664

Primality

Prime factorization: 2 4 × 7 × 4649

Nearest primes: 520,679 (−9) · 520,691 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 4649 · 9298 · 18596 · 32543 · 37192 · 65086 · 74384 · 130172 · 260344 (half) · 520688
Aliquot sum (sum of proper divisors): 632,512
Factor pairs (a × b = 520,688)
1 × 520688
2 × 260344
4 × 130172
7 × 74384
8 × 65086
14 × 37192
16 × 32543
28 × 18596
56 × 9298
112 × 4649
First multiples
520,688 · 1,041,376 (double) · 1,562,064 · 2,082,752 · 2,603,440 · 3,124,128 · 3,644,816 · 4,165,504 · 4,686,192 · 5,206,880

Sums & aliquot sequence

As consecutive integers: 74,381 + 74,382 + … + 74,387 16,256 + 16,257 + … + 16,287 2,213 + 2,214 + … + 2,436
Aliquot sequence: 520,688 632,512 622,756 467,074 257,786 135,418 67,712 73,303 1 0 — terminates at zero

Continued fraction of √n

√520,688 = [721; (1, 1, 2, 2, 1, 2, 2, 4, 1, 2, 2, 44, 1, 2, 13, 1, 2, 12, 10, 90, 10, 12, 2, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand six hundred eighty-eight
Ordinal
520688th
Binary
1111111000111110000
Octal
1770760
Hexadecimal
0x7F1F0
Base64
B/Hw
One's complement
4,294,446,607 (32-bit)
Scientific notation
5.20688 × 10⁵
As a duration
520,688 s = 6 days, 38 minutes, 8 seconds
In other bases
ternary (3) 222110020202
quaternary (4) 1333013300
quinary (5) 113130223
senary (6) 15054332
septenary (7) 4266020
nonary (9) 873222
undecimal (11) 326223
duodecimal (12) 2113a8
tridecimal (13) 152ccc
tetradecimal (14) d7a80
pentadecimal (15) a4428

As an angle

520,688° = 1,446 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκχπηʹ
Chinese
五十二萬零六百八十八
Chinese (financial)
伍拾貳萬零陸佰捌拾捌
In other modern scripts
Eastern Arabic ٥٢٠٦٨٨ Devanagari ५२०६८८ Bengali ৫২০৬৮৮ Tamil ௫௨௦௬௮௮ Thai ๕๒๐๖๘๘ Tibetan ༥༢༠༦༨༨ Khmer ៥២០៦៨៨ Lao ໕໒໐໖໘໘ Burmese ၅၂၀၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520688, here are decompositions:

  • 67 + 520621 = 520688
  • 79 + 520609 = 520688
  • 139 + 520549 = 520688
  • 241 + 520447 = 520688
  • 277 + 520411 = 520688
  • 307 + 520381 = 520688
  • 331 + 520357 = 520688
  • 349 + 520339 = 520688

Showing the first eight; more decompositions exist.

Hex color
#07F1F0
RGB(7, 241, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.241.240.

Address
0.7.241.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.241.240

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 520,688 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 520688 first appears in π at position 691,044 of the decimal expansion (the 691,044ordinal-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°.