The number 58020
58020 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 967. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 967, 1934, 2901, 3868 … 58020.
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How to work it out
- 1
What is special about 58020: a Harshad number: divisible by its digit sum 15.
- 2
58020 is composite. Its prime factorisation is
- 3
The divisors add up to 162624; without 58020 itself that is 104604, so 58020 is abundant (104604 is more than 58020). Euler's totient φ(58020) = 15456 numbers up to 58020 share no factor with it.
- 4
The digits of 58020 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58020 = 2^{2} \times 3 \times 5 \times 967 \]58020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 162624 |
| Euler totient φ(n) | 15456 |
| Square | 3366320400 |
| Cube | 195313909608000 |
| Square root | 240.873411 (= 2√14505) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.802 × |
58020 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and twenty |
| Binary (base 2) | 1110001010100100 |
| Octal (base 8) | 161244 |
| Hexadecimal (base 16) | E2A4 |
| Base 3 | 2221120220 |
| As time | 58020 seconds = 16 h 7 min 0 s |
Is 58020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58020 ÷ 2 = 29010) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58020 ÷ 3 = 19340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58020 ÷ 4 = 14505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58020 ÷ 5 = 11604) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58020 ÷ 6 = 9670) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (58020 ÷ 10 = 5802) | 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 (58020 ÷ 12 = 4835) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58020 a prime number?
No. 58020 = × 3 × 5 × 967, so it is divisible by 2.
What are the factors of 58020?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 967, 1934, 2901, 3868, 4835, 5802, 9670, 11604, 14505, 19340, 29010, 58020.
What is 58020 in binary?
1110001010100100 (hexadecimal E2A4, octal 161244).
What is the square root of 58020?
About 240.8734, exactly 2√14505.
Is 58020 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 58020?
58020 is a Harshad number: divisible by its digit sum 15.