The number 20070
20070 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 223. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 223, 446, 669, 1115 … 20070.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20070: a Harshad number: divisible by its digit sum 9.
- 2
20070 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 20070 itself that is 32346, so 20070 is abundant (32346 is more than 20070). Euler's totient φ(20070) = 5328 numbers up to 20070 share no factor with it.
- 4
The digits of 20070 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20070 = 2 \times 3^{2} \times 5 \times 223 \]20070 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 5328 |
| Square | 402804900 |
| Cube | 8084294343000 |
| Square root | 141.668627 (= 3√2230) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.007 × |
20070 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and seventy |
| Binary (base 2) | 100111001100110 |
| Octal (base 8) | 47146 |
| Hexadecimal (base 16) | 4E66 |
| Base 3 | 1000112100 |
| As time | 20070 seconds = 5 h 34 min 30 s |
Is 20070 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20070 ÷ 2 = 10035) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20070 ÷ 3 = 6690) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20070 ÷ 5 = 4014) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20070 ÷ 6 = 3345) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (20070 ÷ 9 = 2230) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20070 ÷ 10 = 2007) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20070 a prime number?
No. 20070 = 2 × × 5 × 223, so it is divisible by 2.
What are the factors of 20070?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 223, 446, 669, 1115, 1338, 2007, 2230, 3345, 4014, 6690, 10035, 20070.
What is 20070 in binary?
100111001100110 (hexadecimal 4E66, octal 47146).
What is the square root of 20070?
About 141.6686, exactly 3√2230.
Is 20070 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20070?
20070 is a Harshad number: divisible by its digit sum 9.