The number 20040
20040 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 167. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 20040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20040: a Harshad number: divisible by its digit sum 6.
- 2
20040 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 20040 itself that is 40440, so 20040 is abundant (40440 is more than 20040). Euler's totient φ(20040) = 5312 numbers up to 20040 share no factor with it.
- 4
The digits of 20040 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20040 = 2^{3} \times 3 \times 5 \times 167 \]20040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 5312 |
| Square | 401601600 |
| Cube | 8048096064000 |
| Square root | 141.562707 (= 2√5010) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 92 |
| Scientific notation | 2.004 × |
20040 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and forty |
| Binary (base 2) | 100111001001000 |
| Octal (base 8) | 47110 |
| Hexadecimal (base 16) | 4E48 |
| Base 3 | 1000111020 |
| As time | 20040 seconds = 5 h 34 min 0 s |
Is 20040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20040 ÷ 2 = 10020) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20040 ÷ 3 = 6680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20040 ÷ 4 = 5010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20040 ÷ 5 = 4008) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20040 ÷ 6 = 3340) | 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 | Yes (20040 ÷ 8 = 2505) | 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 (20040 ÷ 10 = 2004) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20040 ÷ 12 = 1670) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20040 a prime number?
No. 20040 = × 3 × 5 × 167, so it is divisible by 2.
What are the factors of 20040?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 167, 334, 501, 668, 835, 1002, 1336, 1670, 2004, 2505, 3340, 4008, 5010, 6680, 10020, 20040.
What is 20040 in binary?
100111001001000 (hexadecimal 4E48, octal 47110).
What is the square root of 20040?
About 141.5627, exactly 2√5010.
Is 20040 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 20040?
20040 is a Harshad number: divisible by its digit sum 6.