What does MMLXIV mean?

MMLXIV is the Roman numeral for 2,064 — 1000 + 1000 + 50 + 10 + 4.

How do you write 2064 in Roman numerals?

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

2,064 in Roman numerals

MMLXIV

Number (1–3,999 for numerals)

Roman numeral

2,064 is written MMLXIV in Roman numerals. That is 5 symbol groups added together, reading left to right from the largest value down.

How it breaks down

MMLXIV = 1000 + 1000 + 50 + 10 + 4 = 2,064
Group	Value	Subtraction	Running total
M	1,000	—	1,000
M	1,000	—	2,000
L	50	—	2,050
X	10	—	2,060
IV	4	V − I	2,064

Why the smaller symbol comes first

MMLXIV 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	no
M	1,000	yes — 2×

The same number, other ways

In words: Two thousand sixty-four
Roman numeral: MMLXIV
Symbol count: 6 characters
Binary: 100000010000
Hexadecimal: 810

The numbers either side

Number	Roman numeral
2,062	MMLXII
2,063	MMLXIII
2,064	MMLXIV ←
2,065	MMLXV
2,066	MMLXVI

Common questions

What is 2064 in Roman numerals?: 2,064 is MMLXIV.
What does MMLXIV mean?: MMLXIV is the Roman numeral for 2,064 — 1000 + 1000 + 50 + 10 + 4.
How do you write 2064 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: M (1000), then M (1000), then L (50), then X (10), then IV (4). That gives MMLXIV.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked