1564
1564 is the year Shakespeare and Galileo were born.
- Even
- Composite
Where 1564 fits
Why 1564 is special
Michelangelo died the same year. Shakespeare's exact birth date is unknown — only the baptism on 26 April is recorded — and the traditional 23 April is an assumption that happens to match the date of his death.
Same number, different meanings
How 1564 is understood across different contexts — never implying one meaning because of another.
- Mathematics
Michelangelo died the same year. Shakespeare's exact birth date is unknown — only the baptism on 26 April is recorded — and the traditional 23 April is an assumption that happens to match the date of his death.
- History
In 1564, William Shakespeare and Galileo Galilei were both born (Europe).
- Culture
Shakespeare's baptism on 26 April 1564 is documented; his birth is not. The traditional 23 April is an inference that conveniently matches his death date. Galileo was born the same year and Michelangelo died in it.
1564 is part of
Factors & digit properties
- Divisors (12)
- 1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564
- Prime factorisation
- 2^2 × 17 × 23
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 1564
- Scientific notation
- 1.564 × 10^3
Roman numerals
M D L X I V
MDLXIV uses the subtractive pair IV: one before five — five minus one.
Binary
1 1 0 0 0 0 1 1 1 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,564
Octal
3 0 3 4
3 × 512 + 0 × 64 + 3 × 8 + 4 × 1 = 1,564
Hexadecimal
6 1 c
6 × 256 + 1 × 16 + c × 1 = 1,564
Read as powers of two: 1,024 + 512 + 16 + 8 + 4 = 1,564.
In historical numeral systems
Egyptian
1 lotus, 5 coils of rope, 6 hobbles, 4 strokes
1 × 1,000 + 5 × 100 + 6 × 10 + 4 × 1 = 1,564. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 6 vertical wedges (sixties place), 4 vertical wedges (units place)
26 × 60 + 4 = 1564. Places are separated by a space on the tablet, with the higher place written first.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Deficient number
Related numbers & connections
1564 is a year in the 16th century, in the 1560s.
Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
History
In 1564, William Shakespeare and Galileo Galilei were both born (Europe).
DocumentedHistoryGeography: EuropePeriod: 1564
Culture
Shakespeare's baptism on 26 April 1564 is documented; his birth is not. The traditional 23 April is an inference that conveniently matches his death date. Galileo was born the same year and Michelangelo died in it.
DocumentedCultureGeography: England and ItalyPeriod: 1564
Common questions
Is 1564 a prime number?
No, 1564 is not prime.
What are the factors of 1564?
The factors of 1564 are 1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564.
What is 1564 in Roman numerals?
1564 in Roman numerals is MDLXIV. IV is subtractive: one before five — five minus one. Written additively it would be MDLXIIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026