The number 12060
12060 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 67. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 12060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12060: a Harshad number: divisible by its digit sum 9.
- 2
12060 is composite. Its prime factorisation is
- 3
The divisors add up to 37128; without 12060 itself that is 25068, so 12060 is abundant (25068 is more than 12060). Euler's totient φ(12060) = 3168 numbers up to 12060 share no factor with it.
- 4
The digits of 12060 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12060 = 2^{2} \times 3^{2} \times 5 \times 67 \]12060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 37128 |
| Euler totient φ(n) | 3168 |
| Square | 145443600 |
| Cube | 1754049816000 |
| Square root | 109.818031 (= 6√335) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.206 × |
12060 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and sixty |
| Binary (base 2) | 10111100011100 |
| Octal (base 8) | 27434 |
| Hexadecimal (base 16) | 2F1C |
| Base 3 | 121112200 |
| As time | 12060 seconds = 3 h 21 min 0 s |
Is 12060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12060 ÷ 2 = 6030) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12060 ÷ 3 = 4020) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12060 ÷ 4 = 3015) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12060 ÷ 5 = 2412) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (12060 ÷ 6 = 2010) | 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 (12060 ÷ 9 = 1340) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12060 ÷ 10 = 1206) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (12060 ÷ 12 = 1005) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12060 a prime number?
No. 12060 = × × 5 × 67, so it is divisible by 2.
What are the factors of 12060?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 67, 90, 134, 180, 201, 268, 335, 402, 603, 670, 804, 1005, 1206, 1340, 2010, 2412, 3015, 4020, 6030, 12060.
What is 12060 in binary?
10111100011100 (hexadecimal 2F1C, octal 27434).
What is the square root of 12060?
About 109.8180, exactly 6√335.
Is 12060 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 12060?
12060 is a Harshad number: divisible by its digit sum 9.