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520,040

520,040 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.).

520,040 (five hundred twenty thousand forty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 13,001. Its proper divisors sum to 650,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7EF68.

Abundant Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
40,025
Square (n²)
270,441,601,600
Cube (n³)
140,640,450,496,064,000
Divisor count
16
σ(n) — sum of divisors
1,170,180
φ(n) — Euler's totient
208,000
Sum of prime factors
13,012

Primality

Prime factorization: 2 3 × 5 × 13001

Nearest primes: 520,031 (−9) · 520,043 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 13001 · 26002 · 52004 · 65005 · 104008 · 130010 · 260020 (half) · 520040
Aliquot sum (sum of proper divisors): 650,140
Factor pairs (a × b = 520,040)
1 × 520040
2 × 260020
4 × 130010
5 × 104008
8 × 65005
10 × 52004
20 × 26002
40 × 13001
First multiples
520,040 · 1,040,080 (double) · 1,560,120 · 2,080,160 · 2,600,200 · 3,120,240 · 3,640,280 · 4,160,320 · 4,680,360 · 5,200,400

Sums & aliquot sequence

As a sum of two squares: 286² + 662² = 358² + 626²
As consecutive integers: 104,006 + 104,007 + 104,008 + 104,009 + 104,010 32,495 + 32,496 + … + 32,510 6,461 + 6,462 + … + 6,540
Aliquot sequence: 520,040 650,140 715,196 536,404 507,884 449,380 494,360 685,000 931,670 759,178 553,526 276,766 207,938 103,972 107,708 80,788 68,172 — unresolved within range

Continued fraction of √n

√520,040 = [721; (7, 4, 20, 13, 1, 4, 1, 1, 17, 1, 2, 2, 5, 8, 2, 1, 6, 35, 36, 35, 6, 1, 2, 8, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand forty
Ordinal
520040th
Binary
1111110111101101000
Octal
1767550
Hexadecimal
0x7EF68
Base64
B+9o
One's complement
4,294,447,255 (32-bit)
Scientific notation
5.2004 × 10⁵
As a duration
520,040 s = 6 days, 27 minutes, 20 seconds
In other bases
ternary (3) 222102100202
quaternary (4) 1332331220
quinary (5) 113120130
senary (6) 15051332
septenary (7) 4264103
nonary (9) 872322
undecimal (11) 325794
duodecimal (12) 210b48
tridecimal (13) 152921
tetradecimal (14) d773a
pentadecimal (15) a4145

As an angle

520,040° = 1,444 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓎆𓎆𓎆𓎆
Greek (Milesian)
͵φκμʹ
Chinese
五十二萬零四十
Chinese (financial)
伍拾貳萬零肆拾
In other modern scripts
Eastern Arabic ٥٢٠٠٤٠ Devanagari ५२००४० Bengali ৫২০০৪০ Tamil ௫௨௦௦௪௦ Thai ๕๒๐๐๔๐ Tibetan ༥༢༠༠༤༠ Khmer ៥២០០៤០ Lao ໕໒໐໐໔໐ Burmese ၅၂၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520040, here are decompositions:

  • 19 + 520021 = 520040
  • 43 + 519997 = 520040
  • 97 + 519943 = 520040
  • 109 + 519931 = 520040
  • 151 + 519889 = 520040
  • 223 + 519817 = 520040
  • 271 + 519769 = 520040
  • 307 + 519733 = 520040

Showing the first eight; more decompositions exist.

Hex color
#07EF68
RGB(7, 239, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.239.104.

Address
0.7.239.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.239.104

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 520,040 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 520040 first appears in π at position 457,526 of the decimal expansion (the 457,526ordinal-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°.