Live analysis

520,320

520,320 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.).

520,320 (five hundred twenty thousand three hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 5 × 271. Its proper divisors sum to 1,144,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F080.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

520,308 520,309 520,310 520,311 520,312 520,313 520,314 520,315 520,316 520,317 520,318 520,319 520,320 520,321 520,322 520,323 520,324 520,325 520,326 520,327 520,328 520,329 520,330 520,331 520,332

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Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 23,025
Square (n²): 270,732,902,400
Cube (n³): 140,867,743,776,768,000
Divisor count: 64
σ(n) — sum of divisors: 1,664,640
φ(n) — Euler's totient: 138,240
Sum of prime factors: 293

Primality

Prime factorization: 2 ⁷ × 3 × 5 × 271

Nearest primes: 520,313 (−7) · 520,339 (+19)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 128 · 160 · 192 · 240 · 271 · 320 · 384 · 480 · 542 · 640 · 813 · 960 · 1084 · 1355 · 1626 · 1920 · 2168 · 2710 · 3252 · 4065 · 4336 · 5420 · 6504 · 8130 · 8672 · 10840 · 13008 · 16260 · 17344 · 21680 · 26016 · 32520 · 34688 · 43360 · 52032 · 65040 · 86720 · 104064 · 130080 · 173440 · 260160 (half) · 520320

Aliquot sum (sum of proper divisors): 1,144,320

Factor pairs (a × b = 520,320)

1 × 520320

2 × 260160

3 × 173440

4 × 130080

5 × 104064

6 × 86720

8 × 65040

10 × 52032

12 × 43360

15 × 34688

16 × 32520

20 × 26016

24 × 21680

30 × 17344

32 × 16260

40 × 13008

48 × 10840

60 × 8672

64 × 8130

80 × 6504

96 × 5420

120 × 4336

128 × 4065

160 × 3252

192 × 2710

240 × 2168

271 × 1920

320 × 1626

384 × 1355

480 × 1084

542 × 960

640 × 813

First multiples

520,320 · 1,040,640 (double) · 1,560,960 · 2,081,280 · 2,601,600 · 3,121,920 · 3,642,240 · 4,162,560 · 4,682,880 · 5,203,200

Sums & aliquot sequence

As consecutive integers: 173,439 + 173,440 + 173,441 104,062 + 104,063 + 104,064 + 104,065 + 104,066 34,681 + 34,682 + … + 34,695 1,905 + 1,906 + … + 2,160

Aliquot sequence: 520,320 → 1,144,320 → 2,538,480 → 6,460,944 → 13,725,264 → 26,797,936 → 30,412,688 → 28,912,012 → 23,884,004 → 17,913,010 → 17,208,590 → 20,276,914 → 17,508,686 → 10,774,618 → 5,407,130 → 4,325,722 → 2,173,178 — unresolved within range

Continued fraction of √n

√520,320 = [721; (3, 89, 1, 4, 1, 359, 1, 4, 1, 89, 3, 1442)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty thousand three hundred twenty
Ordinal: 520320th
Binary: 1111111000010000000
Octal: 1770200
Hexadecimal: 0x7F080
Base64: B/CA
One's complement: 4,294,446,975 (32-bit)
Scientific notation: 5.2032 × 10⁵
As a duration: 520,320 s = 6 days, 32 minutes

In other bases

ternary (3) 222102202010

quaternary (4) 1333002000

quinary (5) 113122240

senary (6) 15052520

septenary (7) 4264653

nonary (9) 872663

undecimal (11) 325a19

duodecimal (12) 211140

tridecimal (13) 152aa8

tetradecimal (14) d789a

pentadecimal (15) a4280

As an angle

520,320° = 1,445 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵φκτκʹ
Chinese: 五十二萬零三百二十
Chinese (financial): 伍拾貳萬零參佰貳拾

In other modern scripts

Eastern Arabic ٥٢٠٣٢٠ Devanagari ५२०३२० Bengali ৫২০৩২০ Tamil ௫௨௦௩௨௦ Thai ๕๒๐๓๒๐ Tibetan ༥༢༠༣༢༠ Khmer ៥២០៣២០ Lao ໕໒໐໓໒໐ Burmese ၅၂၀၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520320, here are decompositions:

7 + 520313 = 520320
11 + 520309 = 520320
13 + 520307 = 520320
23 + 520297 = 520320
29 + 520291 = 520320
41 + 520279 = 520320
79 + 520241 = 520320
107 + 520213 = 520320

Showing the first eight; more decompositions exist.

Hex color

#07F080

RGB(7, 240, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.240.128.

Address: 0.7.240.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.240.128

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 520,320 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 US520,320 on Google Patents ↗ Look up on USPTO ↗