The number 2790
2790 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 31. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155 … 2790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2790: a Harshad number: divisible by its digit sum 18.
- 2
2790 is composite. Its prime factorisation is
- 3
The divisors add up to 7488; without 2790 itself that is 4698, so 2790 is abundant (4698 is more than 2790). Euler's totient φ(2790) = 720 numbers up to 2790 share no factor with it.
- 4
The digits of 2790 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2790 = 2 \times 3^{2} \times 5 \times 31 \]2790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 7488 |
| Euler totient φ(n) | 720 |
| Square | 7784100 |
| Cube | 21717639000 |
| Square root | 52.820451 (= 3√310) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 128 |
| Scientific notation | 2.79 × |
2790 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and ninety |
| Roman numerals | MMDCCXC |
| Binary (base 2) | 101011100110 |
| Octal (base 8) | 5346 |
| Hexadecimal (base 16) | AE6 |
| Base 3 | 10211100 |
| As time | 2790 seconds = 46 min 30 s |
Is 2790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2790 ÷ 2 = 1395) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2790 ÷ 3 = 930) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2790 ÷ 5 = 558) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2790 ÷ 6 = 465) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2790 ÷ 9 = 310) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2790 ÷ 10 = 279) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2790 a prime number?
No. 2790 = 2 × × 5 × 31, so it is divisible by 2.
What are the factors of 2790?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395, 2790.
What is 2790 in binary?
101011100110 (hexadecimal AE6, octal 5346).
What is the square root of 2790?
About 52.8205, exactly 3√310.
What is 2790 in Roman numerals?
MMDCCXC.
Is 2790 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2790?
2790 is a Harshad number: divisible by its digit sum 18.