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518,420

518,420 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.).

518,420 (five hundred eighteen thousand four hundred twenty) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2² × 5 × 7² × 23². Its proper divisors sum to 805,462, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7E914.

Abundant Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
24,815
Recamán's sequence
a(163,796) = 518,420
Square (n²)
268,759,296,400
Cube (n³)
139,330,194,439,688,000
Divisor count
54
σ(n) — sum of divisors
1,323,882
φ(n) — Euler's totient
170,016
Sum of prime factors
69

Primality

Prime factorization: 2 2 × 5 × 7 2 × 23 2

Nearest primes: 518,417 (−3) · 518,429 (+9)

Divisors & multiples

All divisors (54)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 23 · 28 · 35 · 46 · 49 · 70 · 92 · 98 · 115 · 140 · 161 · 196 · 230 · 245 · 322 · 460 · 490 · 529 · 644 · 805 · 980 · 1058 · 1127 · 1610 · 2116 · 2254 · 2645 · 3220 · 3703 · 4508 · 5290 · 5635 · 7406 · 10580 · 11270 · 14812 · 18515 · 22540 · 25921 · 37030 · 51842 · 74060 · 103684 · 129605 · 259210 (half) · 518420
Aliquot sum (sum of proper divisors): 805,462
Factor pairs (a × b = 518,420)
1 × 518420
2 × 259210
4 × 129605
5 × 103684
7 × 74060
10 × 51842
14 × 37030
20 × 25921
23 × 22540
28 × 18515
35 × 14812
46 × 11270
49 × 10580
70 × 7406
92 × 5635
98 × 5290
115 × 4508
140 × 3703
161 × 3220
196 × 2645
230 × 2254
245 × 2116
322 × 1610
460 × 1127
490 × 1058
529 × 980
644 × 805
First multiples
518,420 · 1,036,840 (double) · 1,555,260 · 2,073,680 · 2,592,100 · 3,110,520 · 3,628,940 · 4,147,360 · 4,665,780 · 5,184,200

Sums & aliquot sequence

As a sum of two squares: 322² + 644²
As consecutive integers: 103,682 + 103,683 + 103,684 + 103,685 + 103,686 74,057 + 74,058 + … + 74,063 64,799 + 64,800 + … + 64,806 22,529 + 22,530 + … + 22,551
Aliquot sequence: 518,420 805,462 600,158 394,738 197,372 233,548 259,252 272,972 273,028 286,972 304,612 405,020 659,428 779,996 802,564 802,620 2,254,980 — unresolved within range

Continued fraction of √n

√518,420 = [720; (72, 1440)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
five hundred eighteen thousand four hundred twenty
Ordinal
518420th
Binary
1111110100100010100
Octal
1764424
Hexadecimal
0x7E914
Base64
B+kU
One's complement
4,294,448,875 (32-bit)
Scientific notation
5.1842 × 10⁵
As a duration
518,420 s = 6 days, 20 seconds
In other bases
ternary (3) 222100010202
quaternary (4) 1332210110
quinary (5) 113042140
senary (6) 15040032
septenary (7) 4256300
nonary (9) 870122
undecimal (11) 324551
duodecimal (12) 210018
tridecimal (13) 151c76
tetradecimal (14) d6d00
pentadecimal (15) a3915

As an angle

518,420° = 1,440 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 · 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵φιηυκʹ
Chinese
五十一萬八千四百二十
Chinese (financial)
伍拾壹萬捌仟肆佰貳拾
In other modern scripts
Eastern Arabic ٥١٨٤٢٠ Devanagari ५१८४२० Bengali ৫১৮৪২০ Tamil ௫௧௮௪௨௦ Thai ๕๑๘๔๒๐ Tibetan ༥༡༨༤༢༠ Khmer ៥១៨៤២០ Lao ໕໑໘໔໒໐ Burmese ၅၁၈၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 518420, here are decompositions:

  • 3 + 518417 = 518420
  • 31 + 518389 = 518420
  • 79 + 518341 = 518420
  • 109 + 518311 = 518420
  • 181 + 518239 = 518420
  • 211 + 518209 = 518420
  • 229 + 518191 = 518420
  • 241 + 518179 = 518420

Showing the first eight; more decompositions exist.

Hex color
#07E914
RGB(7, 233, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.233.20.

Address
0.7.233.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.233.20

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 518,420 and was likely granted around 1894.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.