The number 70020
70020 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 389. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 70020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70020: a Harshad number: divisible by its digit sum 9.
- 2
70020 is composite. Its prime factorisation is
- 3
The divisors add up to 212940; without 70020 itself that is 142920, so 70020 is abundant (142920 is more than 70020). Euler's totient φ(70020) = 18624 numbers up to 70020 share no factor with it.
- 4
The digits of 70020 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 70020 = 2^{2} \times 3^{2} \times 5 \times 389 \]70020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 212940 |
| Euler totient φ(n) | 18624 |
| Square | 4902800400 |
| Cube | 343294084008000 |
| Square root | 264.612925 (= 6√1945) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.002 × |
70020 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand and twenty |
| Binary (base 2) | 10001000110000100 |
| Octal (base 8) | 210604 |
| Hexadecimal (base 16) | 11184 |
| Base 3 | 10120001100 |
| As time | 70020 seconds = 19 h 27 min 0 s |
Is 70020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (70020 ÷ 2 = 35010) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (70020 ÷ 3 = 23340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (70020 ÷ 4 = 17505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (70020 ÷ 5 = 14004) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (70020 ÷ 6 = 11670) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (70020 ÷ 9 = 7780) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (70020 ÷ 10 = 7002) | 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 | Yes (70020 ÷ 12 = 5835) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 70020 a prime number?
No. 70020 = × × 5 × 389, so it is divisible by 2.
What are the factors of 70020?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 389, 778, 1167, 1556, 1945, 2334, 3501, 3890, 4668, 5835, 7002, 7780, 11670, 14004, 17505, 23340, 35010, 70020.
What is 70020 in binary?
10001000110000100 (hexadecimal 11184, octal 210604).
What is the square root of 70020?
About 264.6129, exactly 6√1945.
Is 70020 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 70020?
70020 is a Harshad number: divisible by its digit sum 9.