The number 64200
64200 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 107. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 64200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64200: a Harshad number: divisible by its digit sum 12.
- 2
64200 is composite. Its prime factorisation is
- 3
The divisors add up to 200880; without 64200 itself that is 136680, so 64200 is abundant (136680 is more than 64200). Euler's totient φ(64200) = 16960 numbers up to 64200 share no factor with it.
- 4
The digits of 64200 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64200 = 2^{3} \times 3 \times 5^{2} \times 107 \]64200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 200880 |
| Euler totient φ(n) | 16960 |
| Square | 4121640000 |
| Cube | 264609288000000 |
| Square root | 253.377189 (= 10√642) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 6.42 × |
64200 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand two hundred |
| Binary (base 2) | 1111101011001000 |
| Octal (base 8) | 175310 |
| Hexadecimal (base 16) | FAC8 |
| Base 3 | 10021001210 |
| As time | 64200 seconds = 17 h 50 min 0 s |
Is 64200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64200 ÷ 2 = 32100) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (64200 ÷ 3 = 21400) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (64200 ÷ 4 = 16050) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (64200 ÷ 5 = 12840) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (64200 ÷ 6 = 10700) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (64200 ÷ 8 = 8025) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (64200 ÷ 10 = 6420) | 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 (64200 ÷ 12 = 5350) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64200 a prime number?
No. 64200 = × 3 × × 107, so it is divisible by 2.
What are the factors of 64200?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 107, 120, 150, 200, 214, 300, 321, 428, 535, 600, 642, 856, 1070, 1284, 1605, 2140, 2568, 2675, 3210, 4280, 5350, 6420, 8025, 10700, 12840, 16050, 21400, 32100, 64200.
What is 64200 in binary?
1111101011001000 (hexadecimal FAC8, octal 175310).
What is the square root of 64200?
About 253.3772, exactly 10√642.
Is 64200 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 64200?
64200 is a Harshad number: divisible by its digit sum 12.