The number 1960
1960 is a composite number with 24 divisors. Its prime factorisation is × 5 × . Divisors (24): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98 … 1960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1960 is composite. Its prime factorisation is
- 3
The divisors add up to 5130; without 1960 itself that is 3170, so 1960 is abundant (3170 is more than 1960). Euler's totient φ(1960) = 672 numbers up to 1960 share no factor with it.
- 4
The digits of 1960 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1960 = 2^{3} \times 5 \times 7^{2} \]1960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 5130 |
| Euler totient φ(n) | 672 |
| Square | 3841600 |
| Cube | 7529536000 |
| Square root | 44.271887 (= 14√10) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 24 |
| Scientific notation | 1.96 × |
1960 in other forms
| Form | Value |
|---|---|
| In words | one thousand nine hundred and sixty |
| Roman numerals | MCMLX |
| Binary (base 2) | 11110101000 |
| Octal (base 8) | 3650 |
| Hexadecimal (base 16) | 7A8 |
| Base 3 | 2200121 |
| As time | 1960 seconds = 32 min 40 s |
Is 1960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1960 ÷ 2 = 980) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1960 ÷ 4 = 490) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1960 ÷ 5 = 392) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1960 ÷ 7 = 280) | 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 | Yes (1960 ÷ 8 = 245) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1960 ÷ 10 = 196) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1960 a prime number?
No. 1960 = × 5 × , so it is divisible by 2.
What are the factors of 1960?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, 1960.
What is 1960 in binary?
11110101000 (hexadecimal 7A8, octal 3650).
What is the square root of 1960?
About 44.2719, exactly 14√10.
What is 1960 in Roman numerals?
MCMLX.
Is 1960 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1960?
It is a composite number with 24 divisors.