Numberwise

1590

1590 is the approximate year the compound microscope was invented.

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Where 1590 fits

Where 1590 fits: Mathematics, History, Related numbersMathematics: Harshad (Niven) number. History: Historical years. Related numbers: 1674.MathematicsHarshad (Niven) numberHistoryHistorical yearsRelated numbers16741590
1590 connects to 3 worlds: mathematics, history, related numbers.

Why 1590 is special

Two lenses in series magnified far more than one, and the instrument revealed a world nobody had suspected. Hooke and Leeuwenhoek made it scientifically productive decades later.

1590 is part of

Factors & digit properties

Divisors (16)
1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590
Prime factorisation
2 × 3 × 5 × 53
Digit sum
15
Digital root
6

Representations

Decimal
1590
Scientific notation
1.590 × 10^3

Roman numerals

M D X C

MDXC uses the subtractive pair XC: ten before a hundred — a hundred minus ten.

Binary

1 1 0 0 0 1 1 0 1 1 0

1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 1,590

Octal

3 0 6 6

3 × 512 + 0 × 64 + 6 × 8 + 6 × 1 = 1,590

Hexadecimal

6 3 6

6 × 256 + 3 × 16 + 6 × 1 = 1,590

Read as powers of two: 1,024 + 512 + 32 + 16 + 4 + 2 = 1,590.

In historical numeral systems

Egyptian

1 lotus, 5 coils of rope, 9 hobbles

1 × 1,000 + 5 × 100 + 9 × 10 = 1,590. 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), 3 corner wedges (units place)

26 × 60 + 30 = 1590. 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

  • Abundant number
  • Harshad (Niven) number

Related numbers & connections

Documented appearance
1590 is a year in the 16th century, in the 1590s.

1590 is a year in the 16th century, in the 1590s.

Connection
Compound microscopes existed from around 1590 and produced little for decades. Leeuwenhoek's single-lens instruments from 1674 revealed microorganisms and outperformed compound designs for a century.

Compound microscopes existed from around 1590 and produced little for decades. Leeuwenhoek's single-lens instruments from 1674 revealed microorganisms and outperformed compound designs for a century.

View 1674

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1674
    why?

    Strength 0.50, confidence "high".

How is 1590 connected to another number? →

Technology & computing

  • In 1590, compound microscopes began to be built in the Netherlands, opening a scale of observation nothing had reached before (Low Countries).

    DocumentedTechnology & computingGeography: Low CountriesPeriod: 1590
  • Compound microscopes existed from around 1590 and produced little for seventy years. Systematic observation with them began with Hooke and Leeuwenhoek in the 1660s and 1670s.

    DocumentedTechnology & computingGeography: NetherlandsPeriod: around 1590

Common questions

Is 1590 a prime number?

No, 1590 is not prime.

What are the factors of 1590?

The factors of 1590 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590.

What is 1590 in Roman numerals?

1590 in Roman numerals is MDXC. XC is subtractive: ten before a hundred — a hundred minus ten. Written additively it would be MDLXXXX, 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