The number 26010
26010 is a composite number with 36 divisors. Its prime factorisation is 2 × × 5 × . Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90 … 26010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26010: a Harshad number: divisible by its digit sum 9.
- 2
26010 is composite. Its prime factorisation is
- 3
The divisors add up to 71838; without 26010 itself that is 45828, so 26010 is abundant (45828 is more than 26010). Euler's totient φ(26010) = 6528 numbers up to 26010 share no factor with it.
- 4
The digits of 26010 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26010 = 2 \times 3^{2} \times 5 \times 17^{2} \]26010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 71838 |
| Euler totient φ(n) | 6528 |
| Square | 676520100 |
| Cube | 17596287801000 |
| Square root | 161.276161 (= 51√10) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.601 × |
26010 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and ten |
| Binary (base 2) | 110010110011010 |
| Octal (base 8) | 62632 |
| Hexadecimal (base 16) | 659A |
| Base 3 | 1022200100 |
| As time | 26010 seconds = 7 h 13 min 30 s |
Is 26010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26010 ÷ 2 = 13005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26010 ÷ 3 = 8670) | 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 (26010 ÷ 5 = 5202) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26010 ÷ 6 = 4335) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26010 ÷ 9 = 2890) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26010 ÷ 10 = 2601) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 26010 a prime number?
No. 26010 = 2 × × 5 × , so it is divisible by 2.
What are the factors of 26010?
1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 289, 306, 510, 578, 765, 867, 1445, 1530, 1734, 2601, 2890, 4335, 5202, 8670, 13005, 26010.
What is 26010 in binary?
110010110011010 (hexadecimal 659A, octal 62632).
What is the square root of 26010?
About 161.2762, exactly 51√10.
Is 26010 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 26010?
26010 is a Harshad number: divisible by its digit sum 9.