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520,728

520,728 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.).

520,728 (five hundred twenty thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 13 × 1,669. Its proper divisors sum to 882,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F218.

Abundant Number Evil Number Harshad / Niven 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
827,025
Square (n²)
271,157,649,984
Cube (n³)
141,199,380,760,868,352
Divisor count
32
σ(n) — sum of divisors
1,402,800
φ(n) — Euler's totient
160,128
Sum of prime factors
1,691

Primality

Prime factorization: 2 3 × 3 × 13 × 1669

Nearest primes: 520,721 (−7) · 520,747 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 24 · 26 · 39 · 52 · 78 · 104 · 156 · 312 · 1669 · 3338 · 5007 · 6676 · 10014 · 13352 · 20028 · 21697 · 40056 · 43394 · 65091 · 86788 · 130182 · 173576 · 260364 (half) · 520728
Aliquot sum (sum of proper divisors): 882,072
Factor pairs (a × b = 520,728)
1 × 520728
2 × 260364
3 × 173576
4 × 130182
6 × 86788
8 × 65091
12 × 43394
13 × 40056
24 × 21697
26 × 20028
39 × 13352
52 × 10014
78 × 6676
104 × 5007
156 × 3338
312 × 1669
First multiples
520,728 · 1,041,456 (double) · 1,562,184 · 2,082,912 · 2,603,640 · 3,124,368 · 3,645,096 · 4,165,824 · 4,686,552 · 5,207,280

Sums & aliquot sequence

As consecutive integers: 173,575 + 173,576 + 173,577 40,050 + 40,051 + … + 40,062 32,538 + 32,539 + … + 32,553 13,333 + 13,334 + … + 13,371
Aliquot sequence: 520,728 882,072 1,507,068 2,302,556 1,868,044 1,420,556 1,065,424 1,120,820 1,232,944 1,173,152 1,178,260 1,296,128 1,365,160 1,706,540 2,203,492 1,921,244 1,699,660 — unresolved within range

Continued fraction of √n

√520,728 = [721; (1, 1, 1, 1, 2, 10, 1, 4, 12, 4, 4, 1, 61, 1, 15, 1, 1, 1, 1, 7, 1, 3, 1, 2, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand seven hundred twenty-eight
Ordinal
520728th
Binary
1111111001000011000
Octal
1771030
Hexadecimal
0x7F218
Base64
B/IY
One's complement
4,294,446,567 (32-bit)
Scientific notation
5.20728 × 10⁵
As a duration
520,728 s = 6 days, 38 minutes, 48 seconds
In other bases
ternary (3) 222110022020
quaternary (4) 1333020120
quinary (5) 113130403
senary (6) 15054440
septenary (7) 4266105
nonary (9) 873266
undecimal (11) 32625a
duodecimal (12) 211420
tridecimal (13) 153030
tetradecimal (14) d7aac
pentadecimal (15) a4453

As an angle

520,728° = 1,446 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκψκηʹ
Chinese
五十二萬零七百二十八
Chinese (financial)
伍拾貳萬零柒佰貳拾捌
In other modern scripts
Eastern Arabic ٥٢٠٧٢٨ Devanagari ५२०७२८ Bengali ৫২০৭২৮ Tamil ௫௨௦௭௨௮ Thai ๕๒๐๗๒๘ Tibetan ༥༢༠༧༢༨ Khmer ៥២០៧២៨ Lao ໕໒໐໗໒໘ Burmese ၅၂၀၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520728, here are decompositions:

  • 7 + 520721 = 520728
  • 11 + 520717 = 520728
  • 29 + 520699 = 520728
  • 37 + 520691 = 520728
  • 79 + 520649 = 520728
  • 97 + 520631 = 520728
  • 107 + 520621 = 520728
  • 139 + 520589 = 520728

Showing the first eight; more decompositions exist.

Hex color
#07F218
RGB(7, 242, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.242.24.

Address
0.7.242.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.242.24

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 520,728 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 520728 first appears in π at position 214,799 of the decimal expansion (the 214,799ordinal-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°.