The number 26840
26840 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 61. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 61, 88, 110, 122 … 26840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26840: a Harshad number: divisible by its digit sum 20.
- 2
26840 is composite. Its prime factorisation is
- 3
The divisors add up to 66960; without 26840 itself that is 40120, so 26840 is abundant (40120 is more than 26840). Euler's totient φ(26840) = 9600 numbers up to 26840 share no factor with it.
- 4
The digits of 26840 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26840 = 2^{3} \times 5 \times 11 \times 61 \]26840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 66960 |
| Euler totient φ(n) | 9600 |
| Square | 720385600 |
| Cube | 19335149504000 |
| Square root | 163.829179 (= 2√6710) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.684 × |
26840 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand eight hundred and forty |
| Binary (base 2) | 110100011011000 |
| Octal (base 8) | 64330 |
| Hexadecimal (base 16) | 68D8 |
| Base 3 | 1100211002 |
| As time | 26840 seconds = 7 h 27 min 20 s |
Is 26840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26840 ÷ 2 = 13420) | 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 (26840 ÷ 4 = 6710) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26840 ÷ 5 = 5368) | 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 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 | Yes (26840 ÷ 8 = 3355) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26840 ÷ 10 = 2684) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (26840 ÷ 11 = 2440) | 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 26840 a prime number?
No. 26840 = × 5 × 11 × 61, so it is divisible by 2.
What are the factors of 26840?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 61, 88, 110, 122, 220, 244, 305, 440, 488, 610, 671, 1220, 1342, 2440, 2684, 3355, 5368, 6710, 13420, 26840.
What is 26840 in binary?
110100011011000 (hexadecimal 68D8, octal 64330).
What is the square root of 26840?
About 163.8292, exactly 2√6710.
Is 26840 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 26840?
26840 is a Harshad number: divisible by its digit sum 20.