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520,144

520,144 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.).

520,144 (five hundred twenty thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 19 × 29 × 59. Its proper divisors sum to 595,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7EFD0.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
441,025
Recamán's sequence
a(164,560) = 520,144
Square (n²)
270,549,780,736
Cube (n³)
140,724,845,151,145,984
Divisor count
40
σ(n) — sum of divisors
1,116,000
φ(n) — Euler's totient
233,856
Sum of prime factors
115

Primality

Prime factorization: 2 4 × 19 × 29 × 59

Nearest primes: 520,129 (−15) · 520,151 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 16 · 19 · 29 · 38 · 58 · 59 · 76 · 116 · 118 · 152 · 232 · 236 · 304 · 464 · 472 · 551 · 944 · 1102 · 1121 · 1711 · 2204 · 2242 · 3422 · 4408 · 4484 · 6844 · 8816 · 8968 · 13688 · 17936 · 27376 · 32509 · 65018 · 130036 · 260072 (half) · 520144
Aliquot sum (sum of proper divisors): 595,856
Factor pairs (a × b = 520,144)
1 × 520144
2 × 260072
4 × 130036
8 × 65018
16 × 32509
19 × 27376
29 × 17936
38 × 13688
58 × 8968
59 × 8816
76 × 6844
116 × 4484
118 × 4408
152 × 3422
232 × 2242
236 × 2204
304 × 1711
464 × 1121
472 × 1102
551 × 944
First multiples
520,144 · 1,040,288 (double) · 1,560,432 · 2,080,576 · 2,600,720 · 3,120,864 · 3,641,008 · 4,161,152 · 4,681,296 · 5,201,440

Sums & aliquot sequence

As consecutive integers: 27,367 + 27,368 + … + 27,385 17,922 + 17,923 + … + 17,950 16,239 + 16,240 + … + 16,270 8,787 + 8,788 + … + 8,845
Aliquot sequence: 520,144 595,856 570,736 535,096 476,144 446,416 418,546 220,094 163,906 81,956 82,012 89,348 89,404 96,964 97,020 276,444 522,900 — unresolved within range

Continued fraction of √n

√520,144 = [721; (4, 1, 3, 6, 6, 1, 3, 2, 4, 12, 1, 1, 1, 7, 1, 7, 7, 1, 3, 11, 1, 1, 1, 28, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand one hundred forty-four
Ordinal
520144th
Binary
1111110111111010000
Octal
1767720
Hexadecimal
0x7EFD0
Base64
B+/Q
One's complement
4,294,447,151 (32-bit)
Scientific notation
5.20144 × 10⁵
As a duration
520,144 s = 6 days, 29 minutes, 4 seconds
In other bases
ternary (3) 222102111121
quaternary (4) 1332333100
quinary (5) 113121034
senary (6) 15052024
septenary (7) 4264312
nonary (9) 872447
undecimal (11) 325879
duodecimal (12) 211014
tridecimal (13) 1529a1
tetradecimal (14) d77b2
pentadecimal (15) a41b4

As an angle

520,144° = 1,444 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκρμδʹ
Chinese
五十二萬零一百四十四
Chinese (financial)
伍拾貳萬零壹佰肆拾肆
In other modern scripts
Eastern Arabic ٥٢٠١٤٤ Devanagari ५२०१४४ Bengali ৫২০১৪৪ Tamil ௫௨௦௧௪௪ Thai ๕๒๐๑๔๔ Tibetan ༥༢༠༡༤༤ Khmer ៥២០១៤៤ Lao ໕໒໐໑໔໔ Burmese ၅၂၀၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 520144, here are decompositions:

  • 41 + 520103 = 520144
  • 71 + 520073 = 520144
  • 101 + 520043 = 520144
  • 113 + 520031 = 520144
  • 173 + 519971 = 520144
  • 197 + 519947 = 520144
  • 227 + 519917 = 520144
  • 263 + 519881 = 520144

Showing the first eight; more decompositions exist.

Hex color
#07EFD0
RGB(7, 239, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.239.208.

Address
0.7.239.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.239.208

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 520,144 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 520144 first appears in π at position 561,707 of the decimal expansion (the 561,707ordinal-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°.