number.wiki
Live analysis

520,032

520,032 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.).

520,032 (five hundred twenty thousand thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 5,417. Its proper divisors sum to 845,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7EF60.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
230,025
Square (n²)
270,433,281,024
Cube (n³)
140,633,959,997,472,768
Divisor count
24
σ(n) — sum of divisors
1,365,336
φ(n) — Euler's totient
173,312
Sum of prime factors
5,430

Primality

Prime factorization: 2 5 × 3 × 5417

Nearest primes: 520,031 (−1) · 520,043 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 5417 · 10834 · 16251 · 21668 · 32502 · 43336 · 65004 · 86672 · 130008 · 173344 · 260016 (half) · 520032
Aliquot sum (sum of proper divisors): 845,304
Factor pairs (a × b = 520,032)
1 × 520032
2 × 260016
3 × 173344
4 × 130008
6 × 86672
8 × 65004
12 × 43336
16 × 32502
24 × 21668
32 × 16251
48 × 10834
96 × 5417
First multiples
520,032 · 1,040,064 (double) · 1,560,096 · 2,080,128 · 2,600,160 · 3,120,192 · 3,640,224 · 4,160,256 · 4,680,288 · 5,200,320

Sums & aliquot sequence

As consecutive integers: 173,343 + 173,344 + 173,345 8,094 + 8,095 + … + 8,157 2,613 + 2,614 + … + 2,804
Aliquot sequence: 520,032 845,304 1,268,016 2,007,816 3,046,584 4,698,456 8,726,184 15,897,816 32,284,584 55,153,026 64,581,498 75,345,120 192,460,320 569,587,680 1,423,984,320 4,056,563,520 9,896,334,660 — unresolved within range

Continued fraction of √n

√520,032 = [721; (7, 1, 1, 4, 2, 5, 2, 1, 12, 3, 3, 1, 29, 1, 11, 6, 1, 1, 3, 2, 11, 1, 2, 7, …)]

Representations

In words
five hundred twenty thousand thirty-two
Ordinal
520032nd
Binary
1111110111101100000
Octal
1767540
Hexadecimal
0x7EF60
Base64
B+9g
One's complement
4,294,447,263 (32-bit)
Scientific notation
5.20032 × 10⁵
As a duration
520,032 s = 6 days, 27 minutes, 12 seconds
In other bases
ternary (3) 222102100110
quaternary (4) 1332331200
quinary (5) 113120112
senary (6) 15051320
septenary (7) 4264062
nonary (9) 872313
undecimal (11) 325787
duodecimal (12) 210b40
tridecimal (13) 152916
tetradecimal (14) d7732
pentadecimal (15) a413c

As an angle

520,032° = 1,444 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φκλβʹ
Chinese
五十二萬零三十二
Chinese (financial)
伍拾貳萬零參拾貳
In other modern scripts
Eastern Arabic ٥٢٠٠٣٢ Devanagari ५२००३२ Bengali ৫২০০৩২ Tamil ௫௨௦௦௩௨ Thai ๕๒๐๐๓๒ Tibetan ༥༢༠༠༣༢ Khmer ៥២០០៣២ Lao ໕໒໐໐໓໒ Burmese ၅၂၀၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520032, here are decompositions:

  • 11 + 520021 = 520032
  • 13 + 520019 = 520032
  • 43 + 519989 = 520032
  • 61 + 519971 = 520032
  • 89 + 519943 = 520032
  • 101 + 519931 = 520032
  • 109 + 519923 = 520032
  • 113 + 519919 = 520032

Showing the first eight; more decompositions exist.

Hex color
#07EF60
RGB(7, 239, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.239.96.

Address
0.7.239.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.239.96

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 520,032 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 520032 first appears in π at position 96,602 of the decimal expansion (the 96,602ordinal-suffix:nd 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°.