1540
1540 is a year in the 16th century. The Society of Jesus was approved by the papacy, creating an order central to education and missions worldwide.
- Even
- Composite
Where 1540 fits
Why 1540 is special
1540 has a profile because of what happened in it rather than because of any property of the number: the Society of Jesus was approved by the papacy, creating an order central to education and missions worldwide (Europe).
1540 is part of
Factors & digit properties
- Divisors (24)
- 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540
- Prime factorisation
- 2^2 × 5 × 7 × 11
- Digit sum
- 10
- Digital root
- 1
Representations
- Decimal
- 1540
- Scientific notation
- 1.540 × 10^3
Roman numerals
M D X L
MDXL uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 1 0 0 0 0 0 0 1 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,540
Octal
3 0 0 4
3 × 512 + 0 × 64 + 0 × 8 + 4 × 1 = 1,540
Hexadecimal
6 0 4
6 × 256 + 0 × 16 + 4 × 1 = 1,540
Read as powers of two: 1,024 + 512 + 4 = 1,540.
In historical numeral systems
Egyptian
1 lotus, 5 coils of rope, 4 hobbles
1 × 1,000 + 5 × 100 + 4 × 10 = 1,540. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 5 vertical wedges (sixties place), 4 corner wedges (units place)
25 × 60 + 40 = 1540. 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
- Triangular number
- Abundant number
- Hexagonal number
- Harshad (Niven) number
Related numbers & connections
1540 is a year in the 16th century, in the 1540s.
Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
History
In 1540, the Society of Jesus was approved by the papacy, creating an order central to education and missions worldwide (Europe).
DocumentedHistoryGeography: EuropePeriod: 1540
Common questions
Is 1540 a prime number?
No, 1540 is not prime.
What are the factors of 1540?
The factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540.
What is 1540 in Roman numerals?
1540 in Roman numerals is MDXL. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDXXXX, 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: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026