The number 26820
26820 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 149. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 26820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26820: a Harshad number: divisible by its digit sum 18.
- 2
26820 is composite. Its prime factorisation is
- 3
The divisors add up to 81900; without 26820 itself that is 55080, so 26820 is abundant (55080 is more than 26820). Euler's totient φ(26820) = 7104 numbers up to 26820 share no factor with it.
- 4
The digits of 26820 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26820 = 2^{2} \times 3^{2} \times 5 \times 149 \]26820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 81900 |
| Euler totient φ(n) | 7104 |
| Square | 719312400 |
| Cube | 19291958568000 |
| Square root | 163.768129 (= 6√745) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.682 × |
26820 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand eight hundred and twenty |
| Binary (base 2) | 110100011000100 |
| Octal (base 8) | 64304 |
| Hexadecimal (base 16) | 68C4 |
| Base 3 | 1100210100 |
| As time | 26820 seconds = 7 h 27 min 0 s |
Is 26820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26820 ÷ 2 = 13410) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26820 ÷ 3 = 8940) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26820 ÷ 4 = 6705) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26820 ÷ 5 = 5364) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26820 ÷ 6 = 4470) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (26820 ÷ 9 = 2980) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26820 ÷ 10 = 2682) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26820 ÷ 12 = 2235) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26820 a prime number?
No. 26820 = × × 5 × 149, so it is divisible by 2.
What are the factors of 26820?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 149, 180, 298, 447, 596, 745, 894, 1341, 1490, 1788, 2235, 2682, 2980, 4470, 5364, 6705, 8940, 13410, 26820.
What is 26820 in binary?
110100011000100 (hexadecimal 68C4, octal 64304).
What is the square root of 26820?
About 163.7681, exactly 6√745.
Is 26820 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 26820?
26820 is a Harshad number: divisible by its digit sum 18.