The number 26790
26790 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 19 × 47. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 47, 57, 94, 95, 114, 141 … 26790.
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How to work it out
- 1
26790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26790 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 26790 itself that is 42330, so 26790 is abundant (42330 is more than 26790). Euler's totient φ(26790) = 6624 numbers up to 26790 share no factor with it.
- 4
The digits of 26790 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26790 = 2 \times 3 \times 5 \times 19 \times 47 \]
26790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 6624 |
| Square | 717704100 |
| Cube | 19227292839000 |
| Square root | 163.676510 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.679 × |
26790 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and ninety |
| Binary (base 2) | 110100010100110 |
| Octal (base 8) | 64246 |
| Hexadecimal (base 16) | 68A6 |
| Base 3 | 1100202020 |
| As time | 26790 seconds = 7 h 26 min 30 s |
Is 26790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26790 ÷ 2 = 13395) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26790 ÷ 3 = 8930) | 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 (26790 ÷ 5 = 5358) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26790 ÷ 6 = 4465) | 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 6) | 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 (26790 ÷ 10 = 2679) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 26790 a prime number?
No. 26790 = 2 × 3 × 5 × 19 × 47, so it is divisible by 2.
What are the factors of 26790?
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 47, 57, 94, 95, 114, 141, 190, 235, 282, 285, 470, 570, 705, 893, 1410, 1786, 2679, 4465, 5358, 8930, 13395, 26790.
What is 26790 in binary?
110100010100110 (hexadecimal 68A6, octal 64246).
What is the square root of 26790?
About 163.6765.
Is 26790 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 26790?
It is a composite number with 32 divisors.