Live analysis

520,020

520,020 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.).

520,020 (five hundred twenty thousand twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3⁵ × 5 × 107. Its proper divisors sum to 1,131,084, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7EF54.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

520,008 520,009 520,010 520,011 520,012 520,013 520,014 520,015 520,016 520,017 520,018 520,019 520,020 520,021 520,022 520,023 520,024 520,025 520,026 520,027 520,028 520,029 520,030 520,031 520,032

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 20,025
Square (n²): 270,420,800,400
Cube (n³): 140,624,224,624,008,000
Divisor count: 72
σ(n) — sum of divisors: 1,651,104
φ(n) — Euler's totient: 137,376
Sum of prime factors: 131

Primality

Prime factorization: 2 ² × 3 ⁵ × 5 × 107

Nearest primes: 520,019 (−1) · 520,021 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 27 · 30 · 36 · 45 · 54 · 60 · 81 · 90 · 107 · 108 · 135 · 162 · 180 · 214 · 243 · 270 · 321 · 324 · 405 · 428 · 486 · 535 · 540 · 642 · 810 · 963 · 972 · 1070 · 1215 · 1284 · 1605 · 1620 · 1926 · 2140 · 2430 · 2889 · 3210 · 3852 · 4815 · 4860 · 5778 · 6420 · 8667 · 9630 · 11556 · 14445 · 17334 · 19260 · 26001 · 28890 · 34668 · 43335 · 52002 · 57780 · 86670 · 104004 · 130005 · 173340 · 260010 (half) · 520020

Aliquot sum (sum of proper divisors): 1,131,084

Factor pairs (a × b = 520,020)

1 × 520020

2 × 260010

3 × 173340

4 × 130005

5 × 104004

6 × 86670

9 × 57780

10 × 52002

12 × 43335

15 × 34668

18 × 28890

20 × 26001

27 × 19260

30 × 17334

36 × 14445

45 × 11556

54 × 9630

60 × 8667

81 × 6420

90 × 5778

107 × 4860

108 × 4815

135 × 3852

162 × 3210

180 × 2889

214 × 2430

243 × 2140

270 × 1926

321 × 1620

324 × 1605

405 × 1284

428 × 1215

486 × 1070

535 × 972

540 × 963

642 × 810

First multiples

520,020 · 1,040,040 (double) · 1,560,060 · 2,080,080 · 2,600,100 · 3,120,120 · 3,640,140 · 4,160,160 · 4,680,180 · 5,200,200

Sums & aliquot sequence

As consecutive integers: 173,339 + 173,340 + 173,341 104,002 + 104,003 + 104,004 + 104,005 + 104,006 64,999 + 65,000 + … + 65,006 57,776 + 57,777 + … + 57,784

Aliquot sequence: 520,020 → 1,131,084 → 1,826,640 → 4,556,880 → 10,749,060 → 28,562,940 → 70,459,620 → 179,588,892 → 299,315,044 → 328,866,972 → 727,409,508 → 1,246,989,324 → 2,115,698,676 → 4,068,673,644 → 7,042,882,644 → 13,319,521,964 — keeps growing

Continued fraction of √n

√520,020 = [721; (8, 17, 1, 2, 7, 1, 2, 17, 2, 5, 2, 159, 1, 3, 1, 3, 1, 17, 72, 17, 1, 3, 1, 3, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty thousand twenty
Ordinal: 520020th
Binary: 1111110111101010100
Octal: 1767524
Hexadecimal: 0x7EF54
Base64: B+9U
One's complement: 4,294,447,275 (32-bit)
Scientific notation: 5.2002 × 10⁵
As a duration: 520,020 s = 6 days, 27 minutes

In other bases

ternary (3) 222102100000

quaternary (4) 1332331110

quinary (5) 113120040

senary (6) 15051300

septenary (7) 4264044

nonary (9) 872300

undecimal (11) 325776

duodecimal (12) 210b30

tridecimal (13) 152907

tetradecimal (14) d7724

pentadecimal (15) a4130

As an angle

520,020° = 1,444 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓎆𓎆
Greek (Milesian): ͵φκκʹ
Chinese: 五十二萬零二十
Chinese (financial): 伍拾貳萬零貳拾

In other modern scripts

Eastern Arabic ٥٢٠٠٢٠ Devanagari ५२००२० Bengali ৫২০০২০ Tamil ௫௨௦௦௨௦ Thai ๕๒๐๐๒๐ Tibetan ༥༢༠༠༢༠ Khmer ៥២០០២០ Lao ໕໒໐໐໒໐ Burmese ၅၂၀၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520020, here are decompositions:

23 + 519997 = 520020
31 + 519989 = 520020
73 + 519947 = 520020
89 + 519931 = 520020
97 + 519923 = 520020
101 + 519919 = 520020
103 + 519917 = 520020
113 + 519907 = 520020

Showing the first eight; more decompositions exist.

Hex color

#07EF54

RGB(7, 239, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.239.84.

Address: 0.7.239.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.239.84

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 520,020 and was likely granted around 1894.

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

Look up US520,020 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 520020 first appears in π at position 343,034 of the decimal expansion (the 343,034ordinal-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.

Look up 520020 on Pi Search ↗