The number 1940
1940 is a composite number with 12 divisors. Its prime factorisation is × 5 × 97. Divisors (12): 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1940 is composite. Its prime factorisation is
- 3
The divisors add up to 4116; without 1940 itself that is 2176, so 1940 is abundant (2176 is more than 1940). Euler's totient φ(1940) = 768 numbers up to 1940 share no factor with it.
- 4
The digits of 1940 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1940 = 2^{2} \times 5 \times 97 \]1940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4116 |
| Euler totient φ(n) | 768 |
| Square | 3763600 |
| Cube | 7301384000 |
| Square root | 44.045431 (= 2√485) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.94 × |
1940 in other forms
| Form | Value |
|---|---|
| In words | one thousand nine hundred and forty |
| Roman numerals | MCMXL |
| Binary (base 2) | 11110010100 |
| Octal (base 8) | 3624 |
| Hexadecimal (base 16) | 794 |
| Base 3 | 2122212 |
| As time | 1940 seconds = 32 min 20 s |
Is 1940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1940 ÷ 2 = 970) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1940 ÷ 4 = 485) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1940 ÷ 5 = 388) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1940 ÷ 10 = 194) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1940 a prime number?
No. 1940 = × 5 × 97, so it is divisible by 2.
What are the factors of 1940?
1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940.
What is 1940 in binary?
11110010100 (hexadecimal 794, octal 3624).
What is the square root of 1940?
About 44.0454, exactly 2√485.
What is 1940 in Roman numerals?
MCMXL.
Is 1940 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1940?
It is a composite number with 12 divisors.