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521,640

521,640 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.).

521,640 (five hundred twenty-one thousand six hundred forty) is an even 6-digit number. It is a composite number with 160 divisors, and factors as 2³ × 3⁴ × 5 × 7 × 23. Its proper divisors sum to 1,569,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F5A8.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence 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
46,125
Recamán's sequence
a(165,404) = 521,640
Square (n²)
272,108,289,600
Cube (n³)
141,942,568,186,944,000
Divisor count
160
σ(n) — sum of divisors
2,090,880
φ(n) — Euler's totient
114,048
Sum of prime factors
53

Primality

Prime factorization: 2 3 × 3 4 × 5 × 7 × 23

Nearest primes: 521,603 (−37) · 521,641 (+1)

Divisors & multiples

All divisors (160)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 23 · 24 · 27 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 46 · 54 · 56 · 60 · 63 · 69 · 70 · 72 · 81 · 84 · 90 · 92 · 105 · 108 · 115 · 120 · 126 · 135 · 138 · 140 · 161 · 162 · 168 · 180 · 184 · 189 · 207 · 210 · 216 · 230 · 252 · 270 · 276 · 280 · 315 · 322 · 324 · 345 · 360 · 378 · 405 · 414 · 420 · 460 · 483 · 504 · 540 · 552 · 567 · 621 · 630 · 644 · 648 · 690 · 756 · 805 · 810 · 828 · 840 · 920 · 945 · 966 · 1035 · 1080 · 1134 · 1242 · 1260 · 1288 · 1380 · 1449 · 1512 · 1610 · 1620 · 1656 · 1863 · 1890 · 1932 · 2070 · 2268 · 2415 · 2484 · 2520 · 2760 · 2835 · 2898 · 3105 · 3220 · 3240 · 3726 · 3780 · 3864 · 4140 · 4347 · 4536 · 4830 · 4968 · 5670 · 5796 · 6210 · 6440 · 7245 · 7452 · 7560 · 8280 · 8694 · 9315 · 9660 · 11340 · 11592 · 12420 · 13041 · 14490 · 14904 · 17388 · 18630 · 19320 · 21735 · 22680 · 24840 · 26082 · 28980 · 34776 · 37260 · 43470 · 52164 · 57960 · 65205 · 74520 · 86940 · 104328 · 130410 · 173880 · 260820 (half) · 521640
Aliquot sum (sum of proper divisors): 1,569,240
Factor pairs (a × b = 521,640)
1 × 521640
2 × 260820
3 × 173880
4 × 130410
5 × 104328
6 × 86940
7 × 74520
8 × 65205
9 × 57960
10 × 52164
12 × 43470
14 × 37260
15 × 34776
18 × 28980
20 × 26082
21 × 24840
23 × 22680
24 × 21735
27 × 19320
28 × 18630
30 × 17388
35 × 14904
36 × 14490
40 × 13041
42 × 12420
45 × 11592
46 × 11340
54 × 9660
56 × 9315
60 × 8694
63 × 8280
69 × 7560
70 × 7452
72 × 7245
81 × 6440
84 × 6210
90 × 5796
92 × 5670
105 × 4968
108 × 4830
115 × 4536
120 × 4347
126 × 4140
135 × 3864
138 × 3780
140 × 3726
161 × 3240
162 × 3220
168 × 3105
180 × 2898
184 × 2835
189 × 2760
207 × 2520
210 × 2484
216 × 2415
230 × 2268
252 × 2070
270 × 1932
276 × 1890
280 × 1863
315 × 1656
322 × 1620
324 × 1610
345 × 1512
360 × 1449
378 × 1380
405 × 1288
414 × 1260
420 × 1242
460 × 1134
483 × 1080
504 × 1035
540 × 966
552 × 945
567 × 920
621 × 840
630 × 828
644 × 810
648 × 805
690 × 756
First multiples
521,640 · 1,043,280 (double) · 1,564,920 · 2,086,560 · 2,608,200 · 3,129,840 · 3,651,480 · 4,173,120 · 4,694,760 · 5,216,400

Sums & aliquot sequence

As consecutive integers: 173,879 + 173,880 + 173,881 104,326 + 104,327 + 104,328 + 104,329 + 104,330 74,517 + 74,518 + … + 74,523 57,956 + 57,957 + … + 57,964
Aliquot sequence: 521,640 1,569,240 3,665,160 8,247,780 16,771,032 29,715,408 55,398,192 87,713,928 159,474,552 262,665,048 394,550,952 593,389,848 937,940,712 1,482,553,368 2,669,970,612 3,683,876,748 5,041,290,612 — unresolved within range

Continued fraction of √n

√521,640 = [722; (4, 17, 1, 1, 2, 1, 1, 159, 1, 10, 1, 16, 1, 10, 1, 159, 1, 1, 2, 1, 1, 17, 4, 1444)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty-one thousand six hundred forty
Ordinal
521640th
Binary
1111111010110101000
Octal
1772650
Hexadecimal
0x7F5A8
Base64
B/Wo
One's complement
4,294,445,655 (32-bit)
Scientific notation
5.2164 × 10⁵
As a duration
521,640 s = 6 days, 54 minutes
In other bases
ternary (3) 222111120000
quaternary (4) 1333112220
quinary (5) 113143030
senary (6) 15103000
septenary (7) 4301550
nonary (9) 874500
undecimal (11) 326a09
duodecimal (12) 211a60
tridecimal (13) 153582
tetradecimal (14) d8160
pentadecimal (15) a4860

As an angle

521,640° = 1,449 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φκαχμʹ
Chinese
五十二萬一千六百四十
Chinese (financial)
伍拾貳萬壹仟陸佰肆拾
In other modern scripts
Eastern Arabic ٥٢١٦٤٠ Devanagari ५२१६४० Bengali ৫২১৬৪০ Tamil ௫௨௧௬௪௦ Thai ๕๒๑๖๔๐ Tibetan ༥༢༡༦༤༠ Khmer ៥២១៦៤០ Lao ໕໒໑໖໔໐ Burmese ၅၂၁၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521640, here are decompositions:

  • 37 + 521603 = 521640
  • 59 + 521581 = 521640
  • 73 + 521567 = 521640
  • 83 + 521557 = 521640
  • 89 + 521551 = 521640
  • 101 + 521539 = 521640
  • 103 + 521537 = 521640
  • 107 + 521533 = 521640

Showing the first eight; more decompositions exist.

Hex color
#07F5A8
RGB(7, 245, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.245.168.

Address
0.7.245.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.245.168

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 521,640 and was likely granted around 1894.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.