The number 26140
26140 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1307. Divisors (12): 1, 2, 4, 5, 10, 20, 1307, 2614, 5228, 6535, 13070, 26140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26140 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26140 is composite. Its prime factorisation is
- 3
The divisors add up to 54936; without 26140 itself that is 28796, so 26140 is abundant (28796 is more than 26140). Euler's totient φ(26140) = 10448 numbers up to 26140 share no factor with it.
- 4
The digits of 26140 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26140 = 2^{2} \times 5 \times 1307 \]26140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54936 |
| Euler totient φ(n) | 10448 |
| Square | 683299600 |
| Cube | 17861451544000 |
| Square root | 161.678694 (= 2√6535) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.614 × |
26140 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand one hundred and forty |
| Binary (base 2) | 110011000011100 |
| Octal (base 8) | 63034 |
| Hexadecimal (base 16) | 661C |
| Base 3 | 1022212011 |
| As time | 26140 seconds = 7 h 15 min 40 s |
Is 26140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26140 ÷ 2 = 13070) | 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 (26140 ÷ 4 = 6535) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26140 ÷ 5 = 5228) | 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 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26140 ÷ 10 = 2614) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 26140 a prime number?
No. 26140 = × 5 × 1307, so it is divisible by 2.
What are the factors of 26140?
1, 2, 4, 5, 10, 20, 1307, 2614, 5228, 6535, 13070, 26140.
What is 26140 in binary?
110011000011100 (hexadecimal 661C, octal 63034).
What is the square root of 26140?
About 161.6787, exactly 2√6535.
Is 26140 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 26140?
It is a composite number with 12 divisors.