The number 26340
26340 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 439. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 439, 878, 1317, 1756 … 26340.
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How to work it out
- 1
What is special about 26340: a Harshad number: divisible by its digit sum 15.
- 2
26340 is composite. Its prime factorisation is
- 3
The divisors add up to 73920; without 26340 itself that is 47580, so 26340 is abundant (47580 is more than 26340). Euler's totient φ(26340) = 7008 numbers up to 26340 share no factor with it.
- 4
The digits of 26340 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26340 = 2^{2} \times 3 \times 5 \times 439 \]26340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 73920 |
| Euler totient φ(n) | 7008 |
| Square | 693795600 |
| Cube | 18274576104000 |
| Square root | 162.296026 (= 2√6585) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.634 × |
26340 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand three hundred and forty |
| Binary (base 2) | 110011011100100 |
| Octal (base 8) | 63344 |
| Hexadecimal (base 16) | 66E4 |
| Base 3 | 1100010120 |
| As time | 26340 seconds = 7 h 19 min 0 s |
Is 26340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26340 ÷ 2 = 13170) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26340 ÷ 3 = 8780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26340 ÷ 4 = 6585) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26340 ÷ 5 = 5268) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26340 ÷ 6 = 4390) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26340 ÷ 10 = 2634) | 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 | Yes (26340 ÷ 12 = 2195) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26340 a prime number?
No. 26340 = × 3 × 5 × 439, so it is divisible by 2.
What are the factors of 26340?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 439, 878, 1317, 1756, 2195, 2634, 4390, 5268, 6585, 8780, 13170, 26340.
What is 26340 in binary?
110011011100100 (hexadecimal 66E4, octal 63344).
What is the square root of 26340?
About 162.2960, exactly 2√6585.
Is 26340 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 26340?
26340 is a Harshad number: divisible by its digit sum 15.