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520,128

520,128 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.).

520,128 (five hundred twenty thousand one hundred twenty-eight) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3³ × 7 × 43. Its proper divisors sum to 1,268,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7EFC0.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Self 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
821,025
Recamán's sequence
a(164,528) = 520,128
Square (n²)
270,533,136,384
Cube (n³)
140,711,859,161,137,152
Divisor count
112
σ(n) — sum of divisors
1,788,160
φ(n) — Euler's totient
145,152
Sum of prime factors
71

Primality

Prime factorization: 2 6 × 3 3 × 7 × 43

Nearest primes: 520,123 (−5) · 520,129 (+1)

Divisors & multiples

All divisors (112)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 32 · 36 · 42 · 43 · 48 · 54 · 56 · 63 · 64 · 72 · 84 · 86 · 96 · 108 · 112 · 126 · 129 · 144 · 168 · 172 · 189 · 192 · 216 · 224 · 252 · 258 · 288 · 301 · 336 · 344 · 378 · 387 · 432 · 448 · 504 · 516 · 576 · 602 · 672 · 688 · 756 · 774 · 864 · 903 · 1008 · 1032 · 1161 · 1204 · 1344 · 1376 · 1512 · 1548 · 1728 · 1806 · 2016 · 2064 · 2322 · 2408 · 2709 · 2752 · 3024 · 3096 · 3612 · 4032 · 4128 · 4644 · 4816 · 5418 · 6048 · 6192 · 7224 · 8127 · 8256 · 9288 · 9632 · 10836 · 12096 · 12384 · 14448 · 16254 · 18576 · 19264 · 21672 · 24768 · 28896 · 32508 · 37152 · 43344 · 57792 · 65016 · 74304 · 86688 · 130032 · 173376 · 260064 (half) · 520128
Aliquot sum (sum of proper divisors): 1,268,032
Factor pairs (a × b = 520,128)
1 × 520128
2 × 260064
3 × 173376
4 × 130032
6 × 86688
7 × 74304
8 × 65016
9 × 57792
12 × 43344
14 × 37152
16 × 32508
18 × 28896
21 × 24768
24 × 21672
27 × 19264
28 × 18576
32 × 16254
36 × 14448
42 × 12384
43 × 12096
48 × 10836
54 × 9632
56 × 9288
63 × 8256
64 × 8127
72 × 7224
84 × 6192
86 × 6048
96 × 5418
108 × 4816
112 × 4644
126 × 4128
129 × 4032
144 × 3612
168 × 3096
172 × 3024
189 × 2752
192 × 2709
216 × 2408
224 × 2322
252 × 2064
258 × 2016
288 × 1806
301 × 1728
336 × 1548
344 × 1512
378 × 1376
387 × 1344
432 × 1204
448 × 1161
504 × 1032
516 × 1008
576 × 903
602 × 864
672 × 774
688 × 756
First multiples
520,128 · 1,040,256 (double) · 1,560,384 · 2,080,512 · 2,600,640 · 3,120,768 · 3,640,896 · 4,161,024 · 4,681,152 · 5,201,280

Sums & aliquot sequence

As consecutive integers: 173,375 + 173,376 + 173,377 74,301 + 74,302 + … + 74,307 57,788 + 57,789 + … + 57,796 24,758 + 24,759 + … + 24,778
Aliquot sequence: 520,128 1,268,032 1,248,346 812,294 662,554 331,280 465,544 407,366 208,234 128,186 66,214 33,110 42,922 27,350 23,614 11,810 9,466 — unresolved within range

Continued fraction of √n

√520,128 = [721; (5, 39, 1, 6, 2, 159, 1, 3, 1, 359, 1, 3, 1, 159, 2, 6, 1, 39, 5, 1442)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand one hundred twenty-eight
Ordinal
520128th
Binary
1111110111111000000
Octal
1767700
Hexadecimal
0x7EFC0
Base64
B+/A
One's complement
4,294,447,167 (32-bit)
Scientific notation
5.20128 × 10⁵
As a duration
520,128 s = 6 days, 28 minutes, 48 seconds
In other bases
ternary (3) 222102111000
quaternary (4) 1332333000
quinary (5) 113121003
senary (6) 15052000
septenary (7) 4264260
nonary (9) 872430
undecimal (11) 325864
duodecimal (12) 211000
tridecimal (13) 15298b
tetradecimal (14) d77a0
pentadecimal (15) a41a3

As an angle

520,128° = 1,444 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκρκηʹ
Chinese
五十二萬零一百二十八
Chinese (financial)
伍拾貳萬零壹佰貳拾捌
In other modern scripts
Eastern Arabic ٥٢٠١٢٨ Devanagari ५२०१२८ Bengali ৫২০১২৮ Tamil ௫௨௦௧௨௮ Thai ๕๒๐๑๒๘ Tibetan ༥༢༠༡༢༨ Khmer ៥២០១២៨ Lao ໕໒໐໑໒໘ Burmese ၅၂၀၁၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520128, here are decompositions:

  • 5 + 520123 = 520128
  • 17 + 520111 = 520128
  • 61 + 520067 = 520128
  • 97 + 520031 = 520128
  • 107 + 520021 = 520128
  • 109 + 520019 = 520128
  • 131 + 519997 = 520128
  • 139 + 519989 = 520128

Showing the first eight; more decompositions exist.

Hex color
#07EFC0
RGB(7, 239, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.239.192.

Address
0.7.239.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.239.192

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 520,128 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°.