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Number

1,512

1,512 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Notable events — 1512 AD

  1. Apr 11 France defeats the Holy League at Ravenna but loses commander Gaston de Foix.
  2. Apr 4 Selim I usurps the Ottoman throne from his father Bayezid II.
  3. Undated Copernicus circulates the Commentariolus outlining heliocentrism.

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

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Monday
January 1, 1512
Ended on
Tuesday
December 31, 1512
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
514
514 years before 2026.

In other calendars

Hebrew
5272 / 5273 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
917 / 918 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2055 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
890 / 891 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1504 / 1505 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1434 / 1433 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
10
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
2,151
Recamán's sequence
a(1,536) = 1,512
Square (n²)
2,286,144
Cube (n³)
3,456,649,728
Divisor count
32
σ(n) — sum of divisors
4,800
φ(n) — Euler's totient
432
Sum of prime factors
22

Primality

Prime factorization: 2 3 × 3 3 × 7

Nearest primes: 1,511 (−1) · 1,523 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 27 · 28 · 36 · 42 · 54 · 56 · 63 · 72 · 84 · 108 · 126 · 168 · 189 · 216 · 252 · 378 · 504 · 756 (half) · 1512
Aliquot sum (sum of proper divisors): 3,288
Factor pairs (a × b = 1,512)
1 × 1512
2 × 756
3 × 504
4 × 378
6 × 252
7 × 216
8 × 189
9 × 168
12 × 126
14 × 108
18 × 84
21 × 72
24 × 63
27 × 56
28 × 54
36 × 42
First multiples
1,512 · 3,024 (double) · 4,536 · 6,048 · 7,560 · 9,072 · 10,584 · 12,096 · 13,608 · 15,120

Sums & aliquot sequence

As consecutive integers: 503 + 504 + 505 213 + 214 + … + 219 164 + 165 + … + 172 87 + 88 + … + 102
Aliquot sequence: 1,512 3,288 4,992 9,288 17,112 28,968 48,792 80,808 174,552 324,648 592,632 1,012,608 1,986,192 4,005,612 7,338,084 12,192,924 16,725,364 — unresolved within range

Representations

In words
one thousand five hundred twelve
Ordinal
1512th
Roman numeral
MDXII
Binary
10111101000
Octal
2750
Hexadecimal
0x5E8
Base64
Beg=
One's complement
64,023 (16-bit)
In other bases
ternary (3) 2002000
quaternary (4) 113220
quinary (5) 22022
senary (6) 11000
septenary (7) 4260
nonary (9) 2060
undecimal (11) 1155
duodecimal (12) a60
tridecimal (13) 8c4
tetradecimal (14) 7a0
pentadecimal (15) 6ac

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵αφιβʹ
Mayan (base 20)
𝋣·𝋯·𝋬
Chinese
一千五百一十二
Chinese (financial)
壹仟伍佰壹拾貳
In other modern scripts
Eastern Arabic ١٥١٢ Devanagari १५१२ Bengali ১৫১২ Tamil ௧௫௧௨ Thai ๑๕๑๒ Tibetan ༡༥༡༢ Khmer ១៥១២ Lao ໑໕໑໒ Burmese ၁၅၁၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,512 = 8
e — Euler's number (e)
Digit 1,512 = 0
φ — Golden ratio (φ)
Digit 1,512 = 3
√2 — Pythagoras's (√2)
Digit 1,512 = 3
ln 2 — Natural log of 2
Digit 1,512 = 0
γ — Euler-Mascheroni (γ)
Digit 1,512 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1512, here are decompositions:

  • 13 + 1499 = 1512
  • 19 + 1493 = 1512
  • 23 + 1489 = 1512
  • 29 + 1483 = 1512
  • 31 + 1481 = 1512
  • 41 + 1471 = 1512
  • 53 + 1459 = 1512
  • 59 + 1453 = 1512

Showing the first eight; more decompositions exist.

Unicode codepoint
ר
Hebrew Letter Resh
U+05E8
Other letter (Lo)

UTF-8 encoding: D7 A8 (2 bytes).

Hex color
#0005E8
RGB(0, 5, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.232.

Address
0.0.5.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.232

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

Position in π

The digit sequence 1512 first appears in π at position 5,220 of the decimal expansion (the 5,220ordinal-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.