The number 1320
1320 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 11. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33 … 1320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1320: a Harshad number: divisible by its digit sum 6.
- 2
1320 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 1320 itself that is 3000, so 1320 is abundant (3000 is more than 1320). Euler's totient φ(1320) = 320 numbers up to 1320 share no factor with it.
- 4
The digits of 1320 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1320 = 2^{3} \times 3 \times 5 \times 11 \]1320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 320 |
| Square | 1742400 |
| Cube | 2299968000 |
| Square root | 36.331804 (= 2√330) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 1.32 × |
1320 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and twenty |
| Roman numerals | MCCCXX |
| Binary (base 2) | 10100101000 |
| Octal (base 8) | 2450 |
| Hexadecimal (base 16) | 528 |
| Base 3 | 1210220 |
| As time | 1320 seconds = 22 min 0 s |
Is 1320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1320 ÷ 2 = 660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1320 ÷ 3 = 440) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1320 ÷ 4 = 330) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1320 ÷ 5 = 264) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1320 ÷ 6 = 220) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (1320 ÷ 8 = 165) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1320 ÷ 10 = 132) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1320 ÷ 11 = 120) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1320 ÷ 12 = 110) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1320 a prime number?
No. 1320 = × 3 × 5 × 11, so it is divisible by 2.
What are the factors of 1320?
1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320.
What is 1320 in binary?
10100101000 (hexadecimal 528, octal 2450).
What is the square root of 1320?
About 36.3318, exactly 2√330.
What is 1320 in Roman numerals?
MCCCXX.
Is 1320 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 1320?
1320 is a Harshad number: divisible by its digit sum 6.