The number 26720
26720 is a composite number with 24 divisors. Its prime factorisation is × 5 × 167. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 167, 334, 668, 835 … 26720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26720 is composite. Its prime factorisation is
- 3
The divisors add up to 63504; without 26720 itself that is 36784, so 26720 is abundant (36784 is more than 26720). Euler's totient φ(26720) = 10624 numbers up to 26720 share no factor with it.
- 4
The digits of 26720 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26720 = 2^{5} \times 5 \times 167 \]26720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 63504 |
| Euler totient φ(n) | 10624 |
| Square | 713958400 |
| Cube | 19076968448000 |
| Square root | 163.462534 (= 4√1670) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.672 × |
26720 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and twenty |
| Binary (base 2) | 110100001100000 |
| Octal (base 8) | 64140 |
| Hexadecimal (base 16) | 6860 |
| Base 3 | 1100122122 |
| As time | 26720 seconds = 7 h 25 min 20 s |
Is 26720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26720 ÷ 2 = 13360) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26720 ÷ 4 = 6680) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26720 ÷ 5 = 5344) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (26720 ÷ 8 = 3340) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26720 ÷ 10 = 2672) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26720 a prime number?
No. 26720 = × 5 × 167, so it is divisible by 2.
What are the factors of 26720?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 167, 334, 668, 835, 1336, 1670, 2672, 3340, 5344, 6680, 13360, 26720.
What is 26720 in binary?
110100001100000 (hexadecimal 6860, octal 64140).
What is the square root of 26720?
About 163.4625, exactly 4√1670.
Is 26720 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 26720?
It is a composite number with 24 divisors.