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520,960

520,960 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.).

520,960 (five hundred twenty thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 5 × 11 × 37. Its proper divisors sum to 877,136, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F300.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
69,025
Square (n²)
271,399,321,600
Cube (n³)
141,388,190,580,736,000
Divisor count
72
σ(n) — sum of divisors
1,398,096
φ(n) — Euler's totient
184,320
Sum of prime factors
69

Primality

Prime factorization: 2 8 × 5 × 11 × 37

Nearest primes: 520,957 (−3) · 520,963 (+3)

Divisors & multiples

All divisors (72)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 32 · 37 · 40 · 44 · 55 · 64 · 74 · 80 · 88 · 110 · 128 · 148 · 160 · 176 · 185 · 220 · 256 · 296 · 320 · 352 · 370 · 407 · 440 · 592 · 640 · 704 · 740 · 814 · 880 · 1184 · 1280 · 1408 · 1480 · 1628 · 1760 · 2035 · 2368 · 2816 · 2960 · 3256 · 3520 · 4070 · 4736 · 5920 · 6512 · 7040 · 8140 · 9472 · 11840 · 13024 · 14080 · 16280 · 23680 · 26048 · 32560 · 47360 · 52096 · 65120 · 104192 · 130240 · 260480 (half) · 520960
Aliquot sum (sum of proper divisors): 877,136
Factor pairs (a × b = 520,960)
1 × 520960
2 × 260480
4 × 130240
5 × 104192
8 × 65120
10 × 52096
11 × 47360
16 × 32560
20 × 26048
22 × 23680
32 × 16280
37 × 14080
40 × 13024
44 × 11840
55 × 9472
64 × 8140
74 × 7040
80 × 6512
88 × 5920
110 × 4736
128 × 4070
148 × 3520
160 × 3256
176 × 2960
185 × 2816
220 × 2368
256 × 2035
296 × 1760
320 × 1628
352 × 1480
370 × 1408
407 × 1280
440 × 1184
592 × 880
640 × 814
704 × 740
First multiples
520,960 · 1,041,920 (double) · 1,562,880 · 2,083,840 · 2,604,800 · 3,125,760 · 3,646,720 · 4,167,680 · 4,688,640 · 5,209,600

Sums & aliquot sequence

As consecutive integers: 104,190 + 104,191 + 104,192 + 104,193 + 104,194 47,355 + 47,356 + … + 47,365 14,062 + 14,063 + … + 14,098 9,445 + 9,446 + … + 9,499
Aliquot sequence: 520,960 877,136 953,476 715,114 361,754 184,294 117,314 58,660 82,460 132,580 185,948 200,452 200,508 412,356 687,484 721,924 890,876 — unresolved within range

Continued fraction of √n

√520,960 = [721; (1, 3, 2, 5, 5, 6, 1, 89, 2, 1, 3, 2, 1, 4, 1, 16, 1, 359, 1, 16, 1, 4, 1, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand nine hundred sixty
Ordinal
520960th
Binary
1111111001100000000
Octal
1771400
Hexadecimal
0x7F300
Base64
B/MA
One's complement
4,294,446,335 (32-bit)
Scientific notation
5.2096 × 10⁵
As a duration
520,960 s = 6 days, 42 minutes, 40 seconds
In other bases
ternary (3) 222110121211
quaternary (4) 1333030000
quinary (5) 113132320
senary (6) 15055504
septenary (7) 4266556
nonary (9) 873554
undecimal (11) 326450
duodecimal (12) 211594
tridecimal (13) 15317b
tetradecimal (14) d7bd6
pentadecimal (15) a455a

As an angle

520,960° = 1,447 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φκϡξʹ
Chinese
五十二萬零九百六十
Chinese (financial)
伍拾貳萬零玖佰陸拾
In other modern scripts
Eastern Arabic ٥٢٠٩٦٠ Devanagari ५२०९६० Bengali ৫২০৯৬০ Tamil ௫௨௦௯௬௦ Thai ๕๒๐๙๖๐ Tibetan ༥༢༠༩༦༠ Khmer ៥២០៩៦០ Lao ໕໒໐໙໖໐ Burmese ၅၂၀၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520960, here are decompositions:

  • 3 + 520957 = 520960
  • 17 + 520943 = 520960
  • 47 + 520913 = 520960
  • 71 + 520889 = 520960
  • 107 + 520853 = 520960
  • 173 + 520787 = 520960
  • 197 + 520763 = 520960
  • 239 + 520721 = 520960

Showing the first eight; more decompositions exist.

Hex color
#07F300
RGB(7, 243, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.243.0.

Address
0.7.243.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.243.0

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 520,960 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°.