The number 25020
25020 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 139. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 25020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25020: a Harshad number: divisible by its digit sum 9.
- 2
25020 is composite. Its prime factorisation is
- 3
The divisors add up to 76440; without 25020 itself that is 51420, so 25020 is abundant (51420 is more than 25020). Euler's totient φ(25020) = 6624 numbers up to 25020 share no factor with it.
- 4
The digits of 25020 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25020 = 2^{2} \times 3^{2} \times 5 \times 139 \]25020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 76440 |
| Euler totient φ(n) | 6624 |
| Square | 626000400 |
| Cube | 15662530008000 |
| Square root | 158.177116 (= 6√695) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.502 × |
25020 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and twenty |
| Binary (base 2) | 110000110111100 |
| Octal (base 8) | 60674 |
| Hexadecimal (base 16) | 61BC |
| Base 3 | 1021022200 |
| As time | 25020 seconds = 6 h 57 min 0 s |
Is 25020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25020 ÷ 2 = 12510) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25020 ÷ 3 = 8340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25020 ÷ 4 = 6255) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25020 ÷ 5 = 5004) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25020 ÷ 6 = 4170) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (25020 ÷ 9 = 2780) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (25020 ÷ 10 = 2502) | 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 (25020 ÷ 12 = 2085) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25020 a prime number?
No. 25020 = × × 5 × 139, so it is divisible by 2.
What are the factors of 25020?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 139, 180, 278, 417, 556, 695, 834, 1251, 1390, 1668, 2085, 2502, 2780, 4170, 5004, 6255, 8340, 12510, 25020.
What is 25020 in binary?
110000110111100 (hexadecimal 61BC, octal 60674).
What is the square root of 25020?
About 158.1771, exactly 6√695.
Is 25020 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 25020?
25020 is a Harshad number: divisible by its digit sum 9.