What does MDLXIV mean?

MDLXIV is the Roman numeral for 1,564 — 1000 + 500 + 50 + 10 + 4.

How do you write 1564 in Roman numerals?

Take the largest value that fits and repeat until nothing is left: M (1000), then D (500), then L (50), then X (10), then IV (4). That gives MDLXIV.

1,564 in Roman numerals

MDLXIV

Number (1–3,999 for numerals)

Roman numeral

1,564 is written MDLXIV in Roman numerals. That is 5 symbol groups added together, reading left to right from the largest value down.

How it breaks down

MDLXIV = 1000 + 500 + 50 + 10 + 4 = 1,564
Group	Value	Subtraction	Running total
M	1,000	—	1,000
D	500	—	1,500
L	50	—	1,550
X	10	—	1,560
IV	4	V − I	1,564

Why the smaller symbol comes first

MDLXIV uses subtractive notation in one place: IV means V minus I, or 4. A smaller symbol placed before a larger one is subtracted from it rather than added, which is why IX is nine and not eleven.

Only six such pairs are valid — IV, IX, XL, XC, CD and CM. That restriction is what makes the notation unambiguous: IIII and IC both look like they should work, but neither is standard, and only one spelling of any number is correct.

The symbols

Symbol	Value	Used here
I	1	yes — 1×
V	5	yes — 1×
X	10	yes — 1×
L	50	yes — 1×
C	100	no
D	500	yes — 1×
M	1,000	yes — 1×

The same number, other ways

In words: One thousand five hundred sixty-four
Roman numeral: MDLXIV
Symbol count: 6 characters
Binary: 11000011100
Hexadecimal: 61C

The numbers either side

Number	Roman numeral
1,562	MDLXII
1,563	MDLXIII
1,564	MDLXIV ←
1,565	MDLXV
1,566	MDLXVI

Common questions

What is 1564 in Roman numerals?: 1,564 is MDLXIV.
What does MDLXIV mean?: MDLXIV is the Roman numeral for 1,564 — 1000 + 500 + 50 + 10 + 4.
How do you write 1564 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: M (1000), then D (500), then L (50), then X (10), then IV (4). That gives MDLXIV.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked