The number 53200
53200 is a composite number with 60 divisors. Its prime factorisation is × × 7 × 19. Divisors (60): 1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 25, 28, 35, 38, 40 … 53200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53200: a Harshad number: divisible by its digit sum 10.
- 2
53200 is composite. Its prime factorisation is
- 3
The divisors add up to 153760; without 53200 itself that is 100560, so 53200 is abundant (100560 is more than 53200). Euler's totient φ(53200) = 17280 numbers up to 53200 share no factor with it.
- 4
The digits of 53200 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53200 = 2^{4} \times 5^{2} \times 7 \times 19 \]53200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 153760 |
| Euler totient φ(n) | 17280 |
| Square | 2830240000 |
| Cube | 150568768000000 |
| Square root | 230.651252 (= 20√133) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.32 × |
53200 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand two hundred |
| Binary (base 2) | 1100111111010000 |
| Octal (base 8) | 147720 |
| Hexadecimal (base 16) | CFD0 |
| Base 3 | 2200222101 |
| As time | 53200 seconds = 14 h 46 min 40 s |
Is 53200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53200 ÷ 2 = 26600) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53200 ÷ 4 = 13300) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53200 ÷ 5 = 10640) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53200 ÷ 7 = 7600) | 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 (53200 ÷ 8 = 6650) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53200 ÷ 10 = 5320) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53200 a prime number?
No. 53200 = × × 7 × 19, so it is divisible by 2.
What are the factors of 53200?
1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 25, 28, 35, 38, 40, 50, 56, 70, 76, 80, 95, 100, 112, 133, 140, 152, 175, 190, 200, 266, 280, 304, 350, 380, 400, 475, 532, 560, 665, 700, 760, 950, 1064, 1330, 1400, 1520, 1900, 2128, 2660, 2800, 3325, 3800, 5320, 6650, 7600, 10640, 13300, 26600, 53200.
What is 53200 in binary?
1100111111010000 (hexadecimal CFD0, octal 147720).
What is the square root of 53200?
About 230.6513, exactly 20√133.
Is 53200 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 53200?
53200 is a Harshad number: divisible by its digit sum 10.