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Number

1,518

1,518 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Happy Number Practical Number Recamán's Sequence Semiperfect Number Squarefree Year

Notable events — 1518 AD

  1. Jun 30 Pope Leo X bulls allow indulgences for German crusade, fueling further Luther dispute.
  2. Jul 13 The first major dance plague erupts in Strasbourg.
  3. Oct 12 Luther refuses to recant at Augsburg.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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
Tuesday
January 1, 1518
Ended on
Tuesday
December 31, 1518
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1510s
1510–1519
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
508
508 years before 2026.

In other calendars

Hebrew
5278 / 5279 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
923 / 924 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2061 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
896 / 897 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1510 / 1511 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1440 / 1439 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
40
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
8,151
Recamán's sequence
a(1,524) = 1,518
Square (n²)
2,304,324
Cube (n³)
3,497,963,832
Divisor count
16
σ(n) — sum of divisors
3,456
φ(n) — Euler's totient
440
Sum of prime factors
39

Primality

Prime factorization: 2 × 3 × 11 × 23

Nearest primes: 1,511 (−7) · 1,523 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 11 · 22 · 23 · 33 · 46 · 66 · 69 · 138 · 253 · 506 · 759 (half) · 1518
Aliquot sum (sum of proper divisors): 1,938
Factor pairs (a × b = 1,518)
1 × 1518
2 × 759
3 × 506
6 × 253
11 × 138
22 × 69
23 × 66
33 × 46
First multiples
1,518 · 3,036 (double) · 4,554 · 6,072 · 7,590 · 9,108 · 10,626 · 12,144 · 13,662 · 15,180

Sums & aliquot sequence

As consecutive integers: 505 + 506 + 507 378 + 379 + 380 + 381 133 + 134 + … + 143 121 + 122 + … + 132
Aliquot sequence: 1,518 1,938 2,382 2,394 3,846 3,858 3,870 6,426 10,854 13,830 19,434 20,886 21,606 25,098 26,742 26,754 40,446 — unresolved within range

Representations

In words
one thousand five hundred eighteen
Ordinal
1518th
Roman numeral
MDXVIII
Binary
10111101110
Octal
2756
Hexadecimal
0x5EE
Base64
Be4=
One's complement
64,017 (16-bit)
In other bases
ternary (3) 2002020
quaternary (4) 113232
quinary (5) 22033
senary (6) 11010
septenary (7) 4266
nonary (9) 2066
undecimal (11) 1160
duodecimal (12) a66
tridecimal (13) 8ca
tetradecimal (14) 7a6
pentadecimal (15) 6b3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αφιηʹ
Mayan (base 20)
𝋣·𝋯·𝋲
Chinese
一千五百一十八
Chinese (financial)
壹仟伍佰壹拾捌
In other modern scripts
Eastern Arabic ١٥١٨ Devanagari १५१८ Bengali ১৫১৮ Tamil ௧௫௧௮ Thai ๑๕๑๘ Tibetan ༡༥༡༨ Khmer ១៥១៨ Lao ໑໕໑໘ Burmese ၁၅၁၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,518 = 5
e — Euler's number (e)
Digit 1,518 = 0
φ — Golden ratio (φ)
Digit 1,518 = 4
√2 — Pythagoras's (√2)
Digit 1,518 = 3
ln 2 — Natural log of 2
Digit 1,518 = 1
γ — Euler-Mascheroni (γ)
Digit 1,518 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1518, here are decompositions:

  • 7 + 1511 = 1518
  • 19 + 1499 = 1518
  • 29 + 1489 = 1518
  • 31 + 1487 = 1518
  • 37 + 1481 = 1518
  • 47 + 1471 = 1518
  • 59 + 1459 = 1518
  • 67 + 1451 = 1518

Showing the first eight; more decompositions exist.

Hex color
#0005EE
RGB(0, 5, 238)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.238.

Address
0.0.5.238
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.238

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

Position in π

The digit sequence 1518 first appears in π at position 6,618 of the decimal expansion (the 6,618ordinal-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.