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520,200

520,200 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.).

520,200 (five hundred twenty thousand two hundred) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2³ × 3² × 5² × 17². Its proper divisors sum to 1,335,615, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F008.

Abundant Number Achilles Number Evil Number Gapful Number Harshad / Niven Powerful Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
2,025
Recamán's sequence
a(164,672) = 520,200
Square (n²)
270,608,040,000
Cube (n³)
140,770,302,408,000,000
Divisor count
108
σ(n) — sum of divisors
1,855,815
φ(n) — Euler's totient
130,560
Sum of prime factors
56

Primality

Prime factorization: 2 3 × 3 2 × 5 2 × 17 2

Nearest primes: 520,193 (−7) · 520,213 (+13)

Divisors & multiples

All divisors (108)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 17 · 18 · 20 · 24 · 25 · 30 · 34 · 36 · 40 · 45 · 50 · 51 · 60 · 68 · 72 · 75 · 85 · 90 · 100 · 102 · 120 · 136 · 150 · 153 · 170 · 180 · 200 · 204 · 225 · 255 · 289 · 300 · 306 · 340 · 360 · 408 · 425 · 450 · 510 · 578 · 600 · 612 · 680 · 765 · 850 · 867 · 900 · 1020 · 1156 · 1224 · 1275 · 1445 · 1530 · 1700 · 1734 · 1800 · 2040 · 2312 · 2550 · 2601 · 2890 · 3060 · 3400 · 3468 · 3825 · 4335 · 5100 · 5202 · 5780 · 6120 · 6936 · 7225 · 7650 · 8670 · 10200 · 10404 · 11560 · 13005 · 14450 · 15300 · 17340 · 20808 · 21675 · 26010 · 28900 · 30600 · 34680 · 43350 · 52020 · 57800 · 65025 · 86700 · 104040 · 130050 · 173400 · 260100 (half) · 520200
Aliquot sum (sum of proper divisors): 1,335,615
Factor pairs (a × b = 520,200)
1 × 520200
2 × 260100
3 × 173400
4 × 130050
5 × 104040
6 × 86700
8 × 65025
9 × 57800
10 × 52020
12 × 43350
15 × 34680
17 × 30600
18 × 28900
20 × 26010
24 × 21675
25 × 20808
30 × 17340
34 × 15300
36 × 14450
40 × 13005
45 × 11560
50 × 10404
51 × 10200
60 × 8670
68 × 7650
72 × 7225
75 × 6936
85 × 6120
90 × 5780
100 × 5202
102 × 5100
120 × 4335
136 × 3825
150 × 3468
153 × 3400
170 × 3060
180 × 2890
200 × 2601
204 × 2550
225 × 2312
255 × 2040
289 × 1800
300 × 1734
306 × 1700
340 × 1530
360 × 1445
408 × 1275
425 × 1224
450 × 1156
510 × 1020
578 × 900
600 × 867
612 × 850
680 × 765
First multiples
520,200 · 1,040,400 (double) · 1,560,600 · 2,080,800 · 2,601,000 · 3,121,200 · 3,641,400 · 4,161,600 · 4,681,800 · 5,202,000

Sums & aliquot sequence

As a sum of two squares: 102² + 714² = 210² + 690² = 246² + 678² = 426² + 582²
As consecutive integers: 173,399 + 173,400 + 173,401 104,038 + 104,039 + 104,040 + 104,041 + 104,042 57,796 + 57,797 + … + 57,804 34,673 + 34,674 + … + 34,687
Aliquot sequence: 520,200 1,335,615 801,393 267,135 199,425 130,415 26,089 3,735 2,817 1,265 463 1 0 — terminates at zero

Continued fraction of √n

√520,200 = [721; (4, 57, 2, 4, 2, 57, 4, 1442)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand two hundred
Ordinal
520200th
Binary
1111111000000001000
Octal
1770010
Hexadecimal
0x7F008
Base64
B/AI
One's complement
4,294,447,095 (32-bit)
Scientific notation
5.202 × 10⁵
As a duration
520,200 s = 6 days, 30 minutes
In other bases
ternary (3) 222102120200
quaternary (4) 1333000020
quinary (5) 113121300
senary (6) 15052200
septenary (7) 4264422
nonary (9) 872520
undecimal (11) 32591a
duodecimal (12) 211060
tridecimal (13) 152a15
tetradecimal (14) d7812
pentadecimal (15) a4200

As an angle

520,200° = 1,445 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢
Greek (Milesian)
͵φκσʹ
Chinese
五十二萬零二百
Chinese (financial)
伍拾貳萬零貳佰
In other modern scripts
Eastern Arabic ٥٢٠٢٠٠ Devanagari ५२०२०० Bengali ৫২০২০০ Tamil ௫௨௦௨௦௦ Thai ๕๒๐๒๐๐ Tibetan ༥༢༠༢༠༠ Khmer ៥២០២០០ Lao ໕໒໐໒໐໐ Burmese ၅၂၀၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520200, here are decompositions:

  • 7 + 520193 = 520200
  • 71 + 520129 = 520200
  • 89 + 520111 = 520200
  • 97 + 520103 = 520200
  • 127 + 520073 = 520200
  • 137 + 520063 = 520200
  • 157 + 520043 = 520200
  • 179 + 520021 = 520200

Showing the first eight; more decompositions exist.

Hex color
#07F008
RGB(7, 240, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.240.8.

Address
0.7.240.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.240.8

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 520,200 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 520200 first appears in π at position 67,005 of the decimal expansion (the 67,005ordinal-suffix:th 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°.