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520,380

520,380 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.).

520,380 (five hundred twenty thousand three hundred eighty) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2² × 3² × 5 × 7² × 59. Its proper divisors sum to 1,346,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F0BC.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
83,025
Square (n²)
270,795,344,400
Cube (n³)
140,916,481,318,872,000
Divisor count
108
σ(n) — sum of divisors
1,867,320
φ(n) — Euler's totient
116,928
Sum of prime factors
88

Primality

Prime factorization: 2 2 × 3 2 × 5 × 7 2 × 59

Nearest primes: 520,379 (−1) · 520,381 (+1)

Divisors & multiples

All divisors (108)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 28 · 30 · 35 · 36 · 42 · 45 · 49 · 59 · 60 · 63 · 70 · 84 · 90 · 98 · 105 · 118 · 126 · 140 · 147 · 177 · 180 · 196 · 210 · 236 · 245 · 252 · 294 · 295 · 315 · 354 · 413 · 420 · 441 · 490 · 531 · 588 · 590 · 630 · 708 · 735 · 826 · 882 · 885 · 980 · 1062 · 1180 · 1239 · 1260 · 1470 · 1652 · 1764 · 1770 · 2065 · 2124 · 2205 · 2478 · 2655 · 2891 · 2940 · 3540 · 3717 · 4130 · 4410 · 4956 · 5310 · 5782 · 6195 · 7434 · 8260 · 8673 · 8820 · 10620 · 11564 · 12390 · 14455 · 14868 · 17346 · 18585 · 24780 · 26019 · 28910 · 34692 · 37170 · 43365 · 52038 · 57820 · 74340 · 86730 · 104076 · 130095 · 173460 · 260190 (half) · 520380
Aliquot sum (sum of proper divisors): 1,346,940
Factor pairs (a × b = 520,380)
1 × 520380
2 × 260190
3 × 173460
4 × 130095
5 × 104076
6 × 86730
7 × 74340
9 × 57820
10 × 52038
12 × 43365
14 × 37170
15 × 34692
18 × 28910
20 × 26019
21 × 24780
28 × 18585
30 × 17346
35 × 14868
36 × 14455
42 × 12390
45 × 11564
49 × 10620
59 × 8820
60 × 8673
63 × 8260
70 × 7434
84 × 6195
90 × 5782
98 × 5310
105 × 4956
118 × 4410
126 × 4130
140 × 3717
147 × 3540
177 × 2940
180 × 2891
196 × 2655
210 × 2478
236 × 2205
245 × 2124
252 × 2065
294 × 1770
295 × 1764
315 × 1652
354 × 1470
413 × 1260
420 × 1239
441 × 1180
490 × 1062
531 × 980
588 × 885
590 × 882
630 × 826
708 × 735
First multiples
520,380 · 1,040,760 (double) · 1,561,140 · 2,081,520 · 2,601,900 · 3,122,280 · 3,642,660 · 4,163,040 · 4,683,420 · 5,203,800

Sums & aliquot sequence

As consecutive integers: 173,459 + 173,460 + 173,461 104,074 + 104,075 + 104,076 + 104,077 + 104,078 74,337 + 74,338 + … + 74,343 65,044 + 65,045 + … + 65,051
Aliquot sequence: 520,380 1,346,940 3,326,820 7,439,964 12,755,820 32,289,684 54,196,716 91,120,148 91,120,204 126,063,476 154,630,924 161,825,524 174,435,212 174,435,268 175,062,524 201,996,004 201,996,060 — unresolved within range

Continued fraction of √n

√520,380 = [721; (2, 1, 2, 11, 1, 1, 4, 1, 1, 1, 6, 29, 3, 2, 2, 4, 24, 4, 2, 2, 3, 29, 6, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand three hundred eighty
Ordinal
520380th
Binary
1111111000010111100
Octal
1770274
Hexadecimal
0x7F0BC
Base64
B/C8
One's complement
4,294,446,915 (32-bit)
Scientific notation
5.2038 × 10⁵
As a duration
520,380 s = 6 days, 33 minutes
In other bases
ternary (3) 222102211100
quaternary (4) 1333002330
quinary (5) 113123010
senary (6) 15053100
septenary (7) 4265100
nonary (9) 872740
undecimal (11) 325a73
duodecimal (12) 211190
tridecimal (13) 152b23
tetradecimal (14) d7900
pentadecimal (15) a42c0

As an angle

520,380° = 1,445 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φκτπʹ
Chinese
五十二萬零三百八十
Chinese (financial)
伍拾貳萬零參佰捌拾
In other modern scripts
Eastern Arabic ٥٢٠٣٨٠ Devanagari ५२०३८० Bengali ৫২০৩৮০ Tamil ௫௨௦௩௮௦ Thai ๕๒๐๓๘๐ Tibetan ༥༢༠༣༨༠ Khmer ៥២០៣៨០ Lao ໕໒໐໓໘໐ Burmese ၅၂၀၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520380, here are decompositions:

  • 11 + 520369 = 520380
  • 17 + 520363 = 520380
  • 19 + 520361 = 520380
  • 23 + 520357 = 520380
  • 31 + 520349 = 520380
  • 41 + 520339 = 520380
  • 67 + 520313 = 520380
  • 71 + 520309 = 520380

Showing the first eight; more decompositions exist.

Hex color
#07F0BC
RGB(7, 240, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.240.188.

Address
0.7.240.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.240.188

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 520,380 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 520380 first appears in π at position 15,801 of the decimal expansion (the 15,801ordinal-suffix:st 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°.