The number 60450
60450 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 13 × 31. Divisors (48): 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 31, 39, 50, 62, 65 … 60450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60450: a Harshad number: divisible by its digit sum 15.
- 2
60450 is composite. Its prime factorisation is
- 3
The divisors add up to 166656; without 60450 itself that is 106206, so 60450 is abundant (106206 is more than 60450). Euler's totient φ(60450) = 14400 numbers up to 60450 share no factor with it.
- 4
The digits of 60450 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60450 = 2 \times 3 \times 5^{2} \times 13 \times 31 \]60450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 166656 |
| Euler totient φ(n) | 14400 |
| Square | 3654202500 |
| Cube | 220896541125000 |
| Square root | 245.865817 (= 5√2418) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.045 × |
60450 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand four hundred and fifty |
| Binary (base 2) | 1110110000100010 |
| Octal (base 8) | 166042 |
| Hexadecimal (base 16) | EC22 |
| Base 3 | 10001220220 |
| As time | 60450 seconds = 16 h 47 min 30 s |
Is 60450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60450 ÷ 2 = 30225) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60450 ÷ 3 = 20150) | 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 (60450 ÷ 5 = 12090) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60450 ÷ 6 = 10075) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60450 ÷ 10 = 6045) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 60450 a prime number?
No. 60450 = 2 × 3 × × 13 × 31, so it is divisible by 2.
What are the factors of 60450?
1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 31, 39, 50, 62, 65, 75, 78, 93, 130, 150, 155, 186, 195, 310, 325, 390, 403, 465, 650, 775, 806, 930, 975, 1209, 1550, 1950, 2015, 2325, 2418, 4030, 4650, 6045, 10075, 12090, 20150, 30225, 60450.
What is 60450 in binary?
1110110000100010 (hexadecimal EC22, octal 166042).
What is the square root of 60450?
About 245.8658, exactly 5√2418.
Is 60450 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 60450?
60450 is a Harshad number: divisible by its digit sum 15.