Live analysis

520,080

520,080 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.).

520,080 (five hundred twenty thousand eighty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 11 × 197. Its proper divisors sum to 1,247,664, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7EF90.

Abundant Number Evil Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

520,068 520,069 520,070 520,071 520,072 520,073 520,074 520,075 520,076 520,077 520,078 520,079 520,080 520,081 520,082 520,083 520,084 520,085 520,086 520,087 520,088 520,089 520,090 520,091 520,092

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 80,025
Square (n²): 270,483,206,400
Cube (n³): 140,672,905,984,512,000
Divisor count: 80
σ(n) — sum of divisors: 1,767,744
φ(n) — Euler's totient: 125,440
Sum of prime factors: 224

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 11 × 197

Nearest primes: 520,073 (−7) · 520,103 (+23)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 20 · 22 · 24 · 30 · 33 · 40 · 44 · 48 · 55 · 60 · 66 · 80 · 88 · 110 · 120 · 132 · 165 · 176 · 197 · 220 · 240 · 264 · 330 · 394 · 440 · 528 · 591 · 660 · 788 · 880 · 985 · 1182 · 1320 · 1576 · 1970 · 2167 · 2364 · 2640 · 2955 · 3152 · 3940 · 4334 · 4728 · 5910 · 6501 · 7880 · 8668 · 9456 · 10835 · 11820 · 13002 · 15760 · 17336 · 21670 · 23640 · 26004 · 32505 · 34672 · 43340 · 47280 · 52008 · 65010 · 86680 · 104016 · 130020 · 173360 · 260040 (half) · 520080

Aliquot sum (sum of proper divisors): 1,247,664

Factor pairs (a × b = 520,080)

1 × 520080

2 × 260040

3 × 173360

4 × 130020

5 × 104016

6 × 86680

8 × 65010

10 × 52008

11 × 47280

12 × 43340

15 × 34672

16 × 32505

20 × 26004

22 × 23640

24 × 21670

30 × 17336

33 × 15760

40 × 13002

44 × 11820

48 × 10835

55 × 9456

60 × 8668

66 × 7880

80 × 6501

88 × 5910

110 × 4728

120 × 4334

132 × 3940

165 × 3152

176 × 2955

197 × 2640

220 × 2364

240 × 2167

264 × 1970

330 × 1576

394 × 1320

440 × 1182

528 × 985

591 × 880

660 × 788

First multiples

520,080 · 1,040,160 (double) · 1,560,240 · 2,080,320 · 2,600,400 · 3,120,480 · 3,640,560 · 4,160,640 · 4,680,720 · 5,200,800

Sums & aliquot sequence

As consecutive integers: 173,359 + 173,360 + 173,361 104,014 + 104,015 + 104,016 + 104,017 + 104,018 47,275 + 47,276 + … + 47,285 34,665 + 34,666 + … + 34,679

Aliquot sequence: 520,080 → 1,247,664 → 2,502,096 → 3,961,776 → 8,648,528 → 11,028,784 → 13,344,656 → 14,499,916 → 10,906,164 → 18,335,664 → 32,979,132 → 50,755,428 → 77,860,332 → 142,354,068 → 189,805,452 → 253,315,044 → 387,009,186 — unresolved within range

Continued fraction of √n

√520,080 = [721; (6, 29, 3, 1, 2, 1, 1, 2, 6, 1, 2, 6, 1, 4, 1, 3, 2, 1, 5, 1, 1, 4, 2, 4, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty thousand eighty
Ordinal: 520080th
Binary: 1111110111110010000
Octal: 1767620
Hexadecimal: 0x7EF90
Base64: B++Q
One's complement: 4,294,447,215 (32-bit)
Scientific notation: 5.2008 × 10⁵
As a duration: 520,080 s = 6 days, 28 minutes

In other bases

ternary (3) 222102102020

quaternary (4) 1332332100

quinary (5) 113120310

senary (6) 15051440

septenary (7) 4264161

nonary (9) 872366

undecimal (11) 325820

duodecimal (12) 210b80

tridecimal (13) 152952

tetradecimal (14) d7768

pentadecimal (15) a4170

As an angle

520,080° = 1,444 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵φκπʹ
Chinese: 五十二萬零八十
Chinese (financial): 伍拾貳萬零捌拾

In other modern scripts

Eastern Arabic ٥٢٠٠٨٠ Devanagari ५२००८० Bengali ৫২০০৮০ Tamil ௫௨௦௦௮௦ Thai ๕๒๐๐๘๐ Tibetan ༥༢༠༠༨༠ Khmer ៥២០០៨០ Lao ໕໒໐໐໘໐ Burmese ၅၂၀၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520080, here are decompositions:

7 + 520073 = 520080
13 + 520067 = 520080
17 + 520063 = 520080
37 + 520043 = 520080
59 + 520021 = 520080
61 + 520019 = 520080
83 + 519997 = 520080
109 + 519971 = 520080

Showing the first eight; more decompositions exist.

Hex color

#07EF90

RGB(7, 239, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.239.144.

Address: 0.7.239.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.239.144

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 520,080 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 US520,080 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 520080 first appears in π at position 441,679 of the decimal expansion (the 441,679ordinal-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 520080 on Pi Search ↗