The number 15200
15200 is a composite number with 36 divisors. Its prime factorisation is × × 19. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 76, 80 … 15200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15200: a Harshad number: divisible by its digit sum 8.
- 2
15200 is composite. Its prime factorisation is
- 3
The divisors add up to 39060; without 15200 itself that is 23860, so 15200 is abundant (23860 is more than 15200). Euler's totient φ(15200) = 5760 numbers up to 15200 share no factor with it.
- 4
The digits of 15200 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15200 = 2^{5} \times 5^{2} \times 19 \]15200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 39060 |
| Euler totient φ(n) | 5760 |
| Square | 231040000 |
| Cube | 3511808000000 |
| Square root | 123.288280 (= 20√38) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.52 × |
15200 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand two hundred |
| Binary (base 2) | 11101101100000 |
| Octal (base 8) | 35540 |
| Hexadecimal (base 16) | 3B60 |
| Base 3 | 202211222 |
| As time | 15200 seconds = 4 h 13 min 20 s |
Is 15200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15200 ÷ 2 = 7600) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15200 ÷ 4 = 3800) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (15200 ÷ 5 = 3040) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (15200 ÷ 8 = 1900) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (15200 ÷ 10 = 1520) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15200 a prime number?
No. 15200 = × × 19, so it is divisible by 2.
What are the factors of 15200?
1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 76, 80, 95, 100, 152, 160, 190, 200, 304, 380, 400, 475, 608, 760, 800, 950, 1520, 1900, 3040, 3800, 7600, 15200.
What is 15200 in binary?
11101101100000 (hexadecimal 3B60, octal 35540).
What is the square root of 15200?
About 123.2883, exactly 20√38.
Is 15200 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 15200?
15200 is a Harshad number: divisible by its digit sum 8.