The number 26020
26020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1301. Divisors (12): 1, 2, 4, 5, 10, 20, 1301, 2602, 5204, 6505, 13010, 26020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26020: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
26020 is composite. Its prime factorisation is
- 3
The divisors add up to 54684; without 26020 itself that is 28664, so 26020 is abundant (28664 is more than 26020). Euler's totient φ(26020) = 10400 numbers up to 26020 share no factor with it.
- 4
The digits of 26020 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26020 = 2^{2} \times 5 \times 1301 \]26020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54684 |
| Euler totient φ(n) | 10400 |
| Square | 677040400 |
| Cube | 17616591208000 |
| Square root | 161.307160 (= 2√6505) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.602 × |
26020 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and twenty |
| Binary (base 2) | 110010110100100 |
| Octal (base 8) | 62644 |
| Hexadecimal (base 16) | 65A4 |
| Base 3 | 1022200201 |
| As time | 26020 seconds = 7 h 13 min 40 s |
Is 26020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26020 ÷ 2 = 13010) | 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 (26020 ÷ 4 = 6505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26020 ÷ 5 = 5204) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26020 ÷ 10 = 2602) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 26020 a prime number?
No. 26020 = × 5 × 1301, so it is divisible by 2.
What are the factors of 26020?
1, 2, 4, 5, 10, 20, 1301, 2602, 5204, 6505, 13010, 26020.
What is 26020 in binary?
110010110100100 (hexadecimal 65A4, octal 62644).
What is the square root of 26020?
About 161.3072, exactly 2√6505.
Is 26020 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 26020?
26020 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.