Number

1,568

1,568 is a composite number, even, a calendar year.

1,568 (one thousand five hundred sixty-eight) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2⁵ × 7². Its proper divisors sum to 2,023, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDLXVIII and in binary, 11000100000.

Abundant Number Achilles Number Ascending Digits Odious Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,556 1,557 1,558 1,559 1,560 1,561 1,562 1,563 1,564 1,565 1,566 1,567 1,568 1,569 1,570 1,571 1,572 1,573 1,574 1,575 1,576 1,577 1,578 1,579 1,580

less more

Notable events — 1568 AD

May 23 The Eighty Years' War (Dutch revolt) erupts at the Battle of Heiligerlee.
May 16 Mary Queen of Scots flees to England and is imprisoned.
Jun 5 The Duke of Alba executes the Counts of Egmont and Hoorn in Brussels.

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, 1568
Ended on: Tuesday
December 31, 1568
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1560s
1560–1569
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 458
458 years before 2026.

In other calendars

Hebrew: 5328 / 5329 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 975 / 976 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2111 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 946 / 947 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1560 / 1561 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1490 / 1489 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 20
Digit product: 240
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 8,651
Recamán's sequence: a(1,364) = 1,568
Square (n²): 2,458,624
Cube (n³): 3,855,122,432
Divisor count: 18
σ(n) — sum of divisors: 3,591
φ(n) — Euler's totient: 672
Sum of prime factors: 24

Primality

Prime factorization: 2 ⁵ × 7 ²

Nearest primes: 1,567 (−1) · 1,571 (+3)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 49 · 56 · 98 · 112 · 196 · 224 · 392 · 784 (half) · 1568

Aliquot sum (sum of proper divisors): 2,023

Factor pairs (a × b = 1,568)

1 × 1568

2 × 784

4 × 392

7 × 224

8 × 196

14 × 112

16 × 98

28 × 56

32 × 49

First multiples

1,568 · 3,136 (double) · 4,704 · 6,272 · 7,840 · 9,408 · 10,976 · 12,544 · 14,112 · 15,680

Sums & aliquot sequence

As a sum of two squares: 28² + 28²

As consecutive integers: 221 + 222 + … + 227 8 + 9 + … + 56

Aliquot sequence: 1,568 → 2,023 → 433 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,568 = [39; (1, 1, 2, 19, 2, 1, 1, 78)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred sixty-eight
Ordinal: 1568th
Roman numeral: MDLXVIII
Binary: 11000100000
Octal: 3040
Hexadecimal: 0x620
Base64: BiA=
One's complement: 63,967 (16-bit)
Scientific notation: 1.568 × 10³
As a duration: 1,568 s = 26 minutes, 8 seconds

In other bases

ternary (3) 2011002

quaternary (4) 120200

quinary (5) 22233

senary (6) 11132

septenary (7) 4400

nonary (9) 2132

undecimal (11) 11a6

duodecimal (12) aa8

tridecimal (13) 938

tetradecimal (14) 800

pentadecimal (15) 6e8

As an angle

1,568° = 4 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφξηʹ
Mayan (base 20): 𝋣·𝋲·𝋨
Chinese: 一千五百六十八
Chinese (financial): 壹仟伍佰陸拾捌

In other modern scripts

Eastern Arabic ١٥٦٨ Devanagari १५६८ Bengali ১৫৬৮ Tamil ௧௫௬௮ Thai ๑๕๖๘ Tibetan ༡༥༦༨ Khmer ១៥៦៨ Lao ໑໕໖໘ Burmese ၁၅၆၈

Digit at this position in famous constants

π — Pi (π): Digit 1,568 = 8
e — Euler's number (e): Digit 1,568 = 9
φ — Golden ratio (φ): Digit 1,568 = 5
√2 — Pythagoras's (√2): Digit 1,568 = 1
ln 2 — Natural log of 2: Digit 1,568 = 1
γ — Euler-Mascheroni (γ): Digit 1,568 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1568, here are decompositions:

19 + 1549 = 1568
37 + 1531 = 1568
79 + 1489 = 1568
97 + 1471 = 1568
109 + 1459 = 1568
139 + 1429 = 1568
241 + 1327 = 1568
271 + 1297 = 1568

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Kashmiri Yeh

U+0620

Other letter (Lo)

UTF-8 encoding: D8 A0 (2 bytes).

Lookup U+0620 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000620

RGB(0, 6, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.32.

Address: 0.0.6.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.32

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

Musical pitch

Heard as a frequency, 1,568 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, exact)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, +1¢)

Position in π

The digit sequence 1568 first appears in π at position 20,682 of the decimal expansion (the 20,682ordinal-suffix:nd 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.

Look up 1568 on Pi Search ↗