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Number

518

518 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 518 AD

Calendar year

Year 518 (DXVIII) was a common year starting on Monday of the Julian calendar.

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Historical context — 518 BC

Calendar year

The year 518 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Saturday
January 1, 518
Ended on
Saturday
December 31, 518
Friday the 13ths
1
One Friday the 13th this year.
Decade
510s
510–519
Century
6th century
501–600
Millennium
1st millennium
1–1000
Years ago
1,508
1508 years before 2026.

In other calendars

Hebrew
4278 / 4279 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Earth zodiac:Dog
Sexagenary cycle position 35 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1061 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
510 / 511 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
440 / 439 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
14
Digit product
40
Digital root
5
Palindrome
No
Bit width
10 bits
Reversed
815
Recamán's sequence
a(1,223) = 518
Square (n²)
268,324
Cube (n³)
138,991,832
Divisor count
8
σ(n) — sum of divisors
912
φ(n) — Euler's totient
216
Sum of prime factors
46

Primality

Prime factorization: 2 × 7 × 37

Nearest primes: 509 (−9) · 521 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 37 · 74 · 259 (half) · 518
Aliquot sum (sum of proper divisors): 394
Factor pairs (a × b = 518)
1 × 518
2 × 259
7 × 74
14 × 37
First multiples
518 · 1,036 (double) · 1,554 · 2,072 · 2,590 · 3,108 · 3,626 · 4,144 · 4,662 · 5,180

Sums & aliquot sequence

As consecutive integers: 128 + 129 + 130 + 131 71 + 72 + … + 77 5 + 6 + … + 32
Aliquot sequence: 518 394 200 265 59 1 0 — terminates at zero

Representations

In words
five hundred eighteen
Ordinal
518th
Roman numeral
DXVIII
Binary
1000000110
Octal
1006
Hexadecimal
0x206
Base64
AgY=
One's complement
65,017 (16-bit)
In other bases
ternary (3) 201012
quaternary (4) 20012
quinary (5) 4033
senary (6) 2222
septenary (7) 1340
nonary (9) 635
undecimal (11) 431
duodecimal (12) 372
tridecimal (13) 30b
tetradecimal (14) 290
pentadecimal (15) 248

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
φιηʹ
Mayan (base 20)
𝋡·𝋥·𝋲
Chinese
五百一十八
Chinese (financial)
伍佰壹拾捌
In other modern scripts
Eastern Arabic ٥١٨ Devanagari ५१८ Bengali ৫১৮ Tamil ௫௧௮ Thai ๕๑๘ Tibetan ༥༡༨ Khmer ៥១៨ Lao ໕໑໘ Burmese ၅၁၈

Digit at this position in famous constants

π — Pi (π)
Digit 518 = 6
e — Euler's number (e)
Digit 518 = 2
φ — Golden ratio (φ)
Digit 518 = 1
√2 — Pythagoras's (√2)
Digit 518 = 4
ln 2 — Natural log of 2
Digit 518 = 5
γ — Euler-Mascheroni (γ)
Digit 518 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 518, here are decompositions:

  • 19 + 499 = 518
  • 31 + 487 = 518
  • 61 + 457 = 518
  • 79 + 439 = 518
  • 97 + 421 = 518
  • 109 + 409 = 518
  • 139 + 379 = 518
  • 151 + 367 = 518

Showing the first eight; more decompositions exist.

Unicode codepoint
Ȇ
Latin Capital Letter E With Inverted Breve
U+0206
Uppercase letter (Lu)

UTF-8 encoding: C8 86 (2 bytes).

Hex color
#000206
RGB(0, 2, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.6.

Address
0.0.2.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.6

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 518

The number 518 is an active NANP area code (North American Numbering Plan).

Primary area
Albany
Region
New York
Country
United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000518
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.