The number 62020
62020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 443. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 443, 886, 1772, 2215 … 62020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62020: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
62020 is composite. Its prime factorisation is
- 3
The divisors add up to 149184; without 62020 itself that is 87164, so 62020 is abundant (87164 is more than 62020). Euler's totient φ(62020) = 21216 numbers up to 62020 share no factor with it.
- 4
The digits of 62020 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 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62020 = 2^{2} \times 5 \times 7 \times 443 \]62020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 149184 |
| Euler totient φ(n) | 21216 |
| Square | 3846480400 |
| Cube | 238558714408000 |
| Square root | 249.038150 (= 2√15505) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.202 × |
62020 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand and twenty |
| Binary (base 2) | 1111001001000100 |
| Octal (base 8) | 171104 |
| Hexadecimal (base 16) | F244 |
| Base 3 | 10011002001 |
| As time | 62020 seconds = 17 h 13 min 40 s |
Is 62020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62020 ÷ 2 = 31010) | 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 (62020 ÷ 4 = 15505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (62020 ÷ 5 = 12404) | 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 | Yes (62020 ÷ 7 = 8860) | 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 (62020 ÷ 10 = 6202) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62020 a prime number?
No. 62020 = × 5 × 7 × 443, so it is divisible by 2.
What are the factors of 62020?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 443, 886, 1772, 2215, 3101, 4430, 6202, 8860, 12404, 15505, 31010, 62020.
What is 62020 in binary?
1111001001000100 (hexadecimal F244, octal 171104).
What is the square root of 62020?
About 249.0381, exactly 2√15505.
Is 62020 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 62020?
62020 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.