The number 61200
61200 is a composite number with 90 divisors. Its prime factorisation is × × × 17. Divisors (90): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24 … 61200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61200: a Harshad number: divisible by its digit sum 9.
- 2
61200 is composite. Its prime factorisation is
- 3
The divisors add up to 224874; without 61200 itself that is 163674, so 61200 is abundant (163674 is more than 61200). Euler's totient φ(61200) = 15360 numbers up to 61200 share no factor with it.
- 4
The digits of 61200 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61200 = 2^{4} \times 3^{2} \times 5^{2} \times 17 \]61200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 90 |
| Sum of divisors | 224874 |
| Euler totient φ(n) | 15360 |
| Square | 3745440000 |
| Cube | 229220928000000 |
| Square root | 247.386338 (= 60√17) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.12 × |
61200 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand two hundred |
| Binary (base 2) | 1110111100010000 |
| Octal (base 8) | 167420 |
| Hexadecimal (base 16) | EF10 |
| Base 3 | 10002221200 |
| As time | 61200 seconds = 17 h 0 min 0 s |
Is 61200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61200 ÷ 2 = 30600) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61200 ÷ 3 = 20400) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61200 ÷ 4 = 15300) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61200 ÷ 5 = 12240) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61200 ÷ 6 = 10200) | 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 (61200 ÷ 8 = 7650) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61200 ÷ 9 = 6800) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61200 ÷ 10 = 6120) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61200 ÷ 12 = 5100) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61200 a prime number?
No. 61200 = × × × 17, so it is divisible by 2.
What are the factors of 61200?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 25, 30, 34, 36, 40, 45, 48, 50, 51, 60, 68, 72, 75, 80, 85, 90, 100, 102, 120, 136, 144, 150, 153, 170, 180, 200, 204, 225, 240, 255, 272, 300, 306, 340, 360, 400, 408, 425, 450, 510, 600, 612, 680, 720, 765, 816, 850, 900, 1020, 1200, 1224, 1275, 1360, 1530, 1700, 1800, 2040, 2448, 2550, 3060, 3400, 3600, 3825, 4080, 5100, 6120, 6800, 7650, 10200, 12240, 15300, 20400, 30600, 61200.
What is 61200 in binary?
1110111100010000 (hexadecimal EF10, octal 167420).
What is the square root of 61200?
About 247.3863, exactly 60√17.
Is 61200 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 61200?
61200 is a Harshad number: divisible by its digit sum 9.