Live analysis

520,072

520,072 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.).

520,072 (five hundred twenty thousand seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 37 × 251. Its proper divisors sum to 629,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7EF88.

Abundant Number Arithmetic Number Evil Number Happy Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

520,060 520,061 520,062 520,063 520,064 520,065 520,066 520,067 520,068 520,069 520,070 520,071 520,072 520,073 520,074 520,075 520,076 520,077 520,078 520,079 520,080 520,081 520,082 520,083 520,084

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Properties

Parity: Even
Digit count: 6
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 19 bits
Reversed: 270,025
Square (n²): 270,474,885,184
Cube (n³): 140,666,414,487,413,248
Divisor count: 32
σ(n) — sum of divisors: 1,149,120
φ(n) — Euler's totient: 216,000
Sum of prime factors: 301

Primality

Prime factorization: 2 ³ × 7 × 37 × 251

Nearest primes: 520,067 (−5) · 520,073 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 37 · 56 · 74 · 148 · 251 · 259 · 296 · 502 · 518 · 1004 · 1036 · 1757 · 2008 · 2072 · 3514 · 7028 · 9287 · 14056 · 18574 · 37148 · 65009 · 74296 · 130018 · 260036 (half) · 520072

Aliquot sum (sum of proper divisors): 629,048

Factor pairs (a × b = 520,072)

1 × 520072

2 × 260036

4 × 130018

7 × 74296

8 × 65009

14 × 37148

28 × 18574

37 × 14056

56 × 9287

74 × 7028

148 × 3514

251 × 2072

259 × 2008

296 × 1757

502 × 1036

518 × 1004

First multiples

520,072 · 1,040,144 (double) · 1,560,216 · 2,080,288 · 2,600,360 · 3,120,432 · 3,640,504 · 4,160,576 · 4,680,648 · 5,200,720

Sums & aliquot sequence

As consecutive integers: 74,293 + 74,294 + … + 74,299 32,497 + 32,498 + … + 32,512 14,038 + 14,039 + … + 14,074 4,588 + 4,589 + … + 4,699

Aliquot sequence: 520,072 → 629,048 → 753,352 → 659,198 → 353,842 → 176,924 → 160,924 → 120,700 → 160,532 → 125,068 → 93,808 → 124,928 → 128,962 → 75,914 → 37,960 → 55,280 → 73,432 — unresolved within range

Continued fraction of √n

√520,072 = [721; (6, 4, 8, 1, 4, 1, 12, 6, 8, 1, 9, 1, 2, 1, 1, 159, 1, 2, 5, 1, 10, 11, 1, 4, …)]

Representations

In words: five hundred twenty thousand seventy-two
Ordinal: 520072nd
Binary: 1111110111110001000
Octal: 1767610
Hexadecimal: 0x7EF88
Base64: B++I
One's complement: 4,294,447,223 (32-bit)
Scientific notation: 5.20072 × 10⁵
As a duration: 520,072 s = 6 days, 27 minutes, 52 seconds

In other bases

ternary (3) 222102101221

quaternary (4) 1332332020

quinary (5) 113120242

senary (6) 15051424

septenary (7) 4264150

nonary (9) 872357

undecimal (11) 325813

duodecimal (12) 210b74

tridecimal (13) 152947

tetradecimal (14) d7760

pentadecimal (15) a4167

As an angle

520,072° = 1,444 × 360° + 232°

232° ≈ 4.049 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵φκοβʹ
Chinese: 五十二萬零七十二
Chinese (financial): 伍拾貳萬零柒拾貳

In other modern scripts

Eastern Arabic ٥٢٠٠٧٢ Devanagari ५२००७२ Bengali ৫২০০৭২ Tamil ௫௨௦௦௭௨ Thai ๕๒๐๐๗๒ Tibetan ༥༢༠༠༧༢ Khmer ៥២០០៧២ Lao ໕໒໐໐໗໒ Burmese ၅၂၀၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520072, here are decompositions:

5 + 520067 = 520072
29 + 520043 = 520072
41 + 520031 = 520072
53 + 520019 = 520072
83 + 519989 = 520072
101 + 519971 = 520072
149 + 519923 = 520072
191 + 519881 = 520072

Showing the first eight; more decompositions exist.

Hex color

#07EF88

RGB(7, 239, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.239.136.

Address: 0.7.239.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.239.136

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 520,072 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 US520,072 on Google Patents ↗ Look up on USPTO ↗