The number 12040
12040 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 43. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 43, 56, 70, 86 … 12040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12040: a Harshad number: divisible by its digit sum 7.
- 2
12040 is composite. Its prime factorisation is
- 3
The divisors add up to 31680; without 12040 itself that is 19640, so 12040 is abundant (19640 is more than 12040). Euler's totient φ(12040) = 4032 numbers up to 12040 share no factor with it.
- 4
The digits of 12040 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12040 = 2^{3} \times 5 \times 7 \times 43 \]12040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 31680 |
| Euler totient φ(n) | 4032 |
| Square | 144961600 |
| Cube | 1745337664000 |
| Square root | 109.726934 (= 2√3010) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.204 × |
12040 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and forty |
| Binary (base 2) | 10111100001000 |
| Octal (base 8) | 27410 |
| Hexadecimal (base 16) | 2F08 |
| Base 3 | 121111221 |
| As time | 12040 seconds = 3 h 20 min 40 s |
Is 12040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12040 ÷ 2 = 6020) | 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 (12040 ÷ 4 = 3010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12040 ÷ 5 = 2408) | 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 (12040 ÷ 7 = 1720) | 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 (12040 ÷ 8 = 1505) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12040 ÷ 10 = 1204) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12040 a prime number?
No. 12040 = × 5 × 7 × 43, so it is divisible by 2.
What are the factors of 12040?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 43, 56, 70, 86, 140, 172, 215, 280, 301, 344, 430, 602, 860, 1204, 1505, 1720, 2408, 3010, 6020, 12040.
What is 12040 in binary?
10111100001000 (hexadecimal 2F08, octal 27410).
What is the square root of 12040?
About 109.7269, exactly 2√3010.
Is 12040 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 12040?
12040 is a Harshad number: divisible by its digit sum 7.