Numberwise

1840

1840 is the year the Penny Black created modern postage.

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Where 1840 fits

Where 1840 fits: History, Related numbersHistory: Historical years. Related numbers: 1784.HistoryHistorical yearsRelated numbers17841840
1840 connects to 2 worlds: history, related numbers.

Why 1840 is special

Prepayment by the sender, at one price regardless of distance, replaced a system where the recipient paid according to how far the letter had come. Every postal system in the world adopted the model within decades.

Same number, different meanings

How 1840 is understood across different contexts — never implying one meaning because of another.

1840 is part of

Factors & digit properties

Divisors (20)
1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840
Prime factorisation
2^4 × 5 × 23
Digit sum
13
Digital root
4

Representations

Decimal
1840
Scientific notation
1.840 × 10^3

Roman numerals

M D C C C X L

MDCCCXL uses the subtractive pair XL: ten before fifty — fifty minus ten.

Binary

1 1 1 0 0 1 1 0 0 0 0

1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,840

Octal

3 4 6 0

3 × 512 + 4 × 64 + 6 × 8 + 0 × 1 = 1,840

Hexadecimal

7 3 0

7 × 256 + 3 × 16 + 0 × 1 = 1,840

Read as powers of two: 1,024 + 512 + 256 + 32 + 16 = 1,840.

In historical numeral systems

Egyptian

1 lotus, 8 coils of rope, 4 hobbles

1 × 1,000 + 8 × 100 + 4 × 10 = 1,840. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

3 corner wedges (sixties place), 4 corner wedges (units place)

30 × 60 + 40 = 1840. 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

Related numbers & connections

Documented appearance
1840 is a year in the 19th century, in the 1840s.

1840 is a year in the 19th century, in the 1840s.

Connection
Mail coaches from 1784 made letter delivery predictable, and the Penny Black in 1840 made it cheap and prepaid. Reliability came first and affordability second.

Mail coaches from 1784 made letter delivery predictable, and the Penny Black in 1840 made it cheap and prepaid. Reliability came first and affordability second.

View 1784

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • developed from1784
    why?

    Strength 0.50, confidence "high".

How is 1840 connected to another number? →

History

  • In 1840, the Penny Black, the first adhesive postage stamp, was issued (Britain).

    DocumentedHistoryGeography: BritainPeriod: 1840

Everyday life

  • The Penny Black established prepayment by the sender at a single price regardless of distance, replacing a system where the recipient paid by the mile. Every postal system in the world adopted the model within a few decades.

    DocumentedEveryday lifeGeography: United KingdomPeriod: 1840

Common questions

Is 1840 a prime number?

No, 1840 is not prime.

What are the factors of 1840?

The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840.

What is 1840 in Roman numerals?

1840 in Roman numerals is MDCCCXL. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDCCCXXXX, 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