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520,352

520,352 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.).

520,352 (five hundred twenty thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7 × 23 × 101. Its proper divisors sum to 713,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F0A0.

Abundant Number Arithmetic Number Odious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
253,025
Square (n²)
270,766,203,904
Cube (n³)
140,893,735,733,854,208
Divisor count
48
σ(n) — sum of divisors
1,233,792
φ(n) — Euler's totient
211,200
Sum of prime factors
141

Primality

Prime factorization: 2 5 × 7 × 23 × 101

Nearest primes: 520,349 (−3) · 520,357 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 23 · 28 · 32 · 46 · 56 · 92 · 101 · 112 · 161 · 184 · 202 · 224 · 322 · 368 · 404 · 644 · 707 · 736 · 808 · 1288 · 1414 · 1616 · 2323 · 2576 · 2828 · 3232 · 4646 · 5152 · 5656 · 9292 · 11312 · 16261 · 18584 · 22624 · 32522 · 37168 · 65044 · 74336 · 130088 · 260176 (half) · 520352
Aliquot sum (sum of proper divisors): 713,440
Factor pairs (a × b = 520,352)
1 × 520352
2 × 260176
4 × 130088
7 × 74336
8 × 65044
14 × 37168
16 × 32522
23 × 22624
28 × 18584
32 × 16261
46 × 11312
56 × 9292
92 × 5656
101 × 5152
112 × 4646
161 × 3232
184 × 2828
202 × 2576
224 × 2323
322 × 1616
368 × 1414
404 × 1288
644 × 808
707 × 736
First multiples
520,352 · 1,040,704 (double) · 1,561,056 · 2,081,408 · 2,601,760 · 3,122,112 · 3,642,464 · 4,162,816 · 4,683,168 · 5,203,520

Sums & aliquot sequence

As consecutive integers: 74,333 + 74,334 + … + 74,339 22,613 + 22,614 + … + 22,635 8,099 + 8,100 + … + 8,162 5,102 + 5,103 + … + 5,202
Aliquot sequence: 520,352 713,440 1,403,360 2,474,920 3,889,880 5,147,560 7,488,440 9,360,640 13,597,568 14,162,752 15,546,866 7,904,254 3,952,130 5,095,678 3,639,794 1,838,074 1,498,694 — unresolved within range

Continued fraction of √n

√520,352 = [721; (2, 1, 4, 1, 1, 1, 3, 8, 3, 1, 4, 3, 1, 2, 2, 4, 1, 1, 3, 7, 5, 5, 1, 359, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand three hundred fifty-two
Ordinal
520352nd
Binary
1111111000010100000
Octal
1770240
Hexadecimal
0x7F0A0
Base64
B/Cg
One's complement
4,294,446,943 (32-bit)
Scientific notation
5.20352 × 10⁵
As a duration
520,352 s = 6 days, 32 minutes, 32 seconds
In other bases
ternary (3) 222102210022
quaternary (4) 1333002200
quinary (5) 113122402
senary (6) 15053012
septenary (7) 4265030
nonary (9) 872708
undecimal (11) 325a48
duodecimal (12) 211168
tridecimal (13) 152b01
tetradecimal (14) d78c0
pentadecimal (15) a42a2

As an angle

520,352° = 1,445 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φκτνβʹ
Chinese
五十二萬零三百五十二
Chinese (financial)
伍拾貳萬零參佰伍拾貳
In other modern scripts
Eastern Arabic ٥٢٠٣٥٢ Devanagari ५२०३५२ Bengali ৫২০৩৫২ Tamil ௫௨௦௩௫௨ Thai ๕๒๐๓๕๒ Tibetan ༥༢༠༣༥༢ Khmer ៥២០៣៥២ Lao ໕໒໐໓໕໒ Burmese ၅၂၀၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520352, here are decompositions:

  • 3 + 520349 = 520352
  • 13 + 520339 = 520352
  • 43 + 520309 = 520352
  • 61 + 520291 = 520352
  • 73 + 520279 = 520352
  • 139 + 520213 = 520352
  • 223 + 520129 = 520352
  • 229 + 520123 = 520352

Showing the first eight; more decompositions exist.

Hex color
#07F0A0
RGB(7, 240, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.240.160.

Address
0.7.240.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.240.160

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 520,352 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 520352 first appears in π at position 123,573 of the decimal expansion (the 123,573ordinal-suffix:rd 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°.