The number 20010
20010 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 23 × 29. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 23, 29, 30, 46, 58, 69, 87, 115, 138 … 20010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20010: a Harshad number: divisible by its digit sum 3.
- 2
20010 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 20010 itself that is 31830, so 20010 is abundant (31830 is more than 20010). Euler's totient φ(20010) = 4928 numbers up to 20010 share no factor with it.
- 4
The digits of 20010 add up to 3, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20010 = 2 \times 3 \times 5 \times 23 \times 29 \]
20010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 4928 |
| Square | 400400100 |
| Cube | 8012006001000 |
| Square root | 141.456707 |
| Digit sum / digital root | 3 / 3 |
| Collatz steps to 1 | 30 |
| Scientific notation | 2.001 × |
20010 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and ten |
| Binary (base 2) | 100111000101010 |
| Octal (base 8) | 47052 |
| Hexadecimal (base 16) | 4E2A |
| Base 3 | 1000110010 |
| As time | 20010 seconds = 5 h 33 min 30 s |
Is 20010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20010 ÷ 2 = 10005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20010 ÷ 3 = 6670) | 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 (20010 ÷ 5 = 4002) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20010 ÷ 6 = 3335) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20010 ÷ 10 = 2001) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 20010 a prime number?
No. 20010 = 2 × 3 × 5 × 23 × 29, so it is divisible by 2.
What are the factors of 20010?
1, 2, 3, 5, 6, 10, 15, 23, 29, 30, 46, 58, 69, 87, 115, 138, 145, 174, 230, 290, 345, 435, 667, 690, 870, 1334, 2001, 3335, 4002, 6670, 10005, 20010.
What is 20010 in binary?
100111000101010 (hexadecimal 4E2A, octal 47052).
What is the square root of 20010?
About 141.4567.
Is 20010 divisible by 3?
Yes. Its digits add up to 3, a multiple of 3.
What is special about the number 20010?
20010 is a Harshad number: divisible by its digit sum 3.