The number 53520
53520 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 223. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 53520.
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How to work it out
- 1
What is special about 53520: a Harshad number: divisible by its digit sum 15.
- 2
53520 is composite. Its prime factorisation is
- 3
The divisors add up to 166656; without 53520 itself that is 113136, so 53520 is abundant (113136 is more than 53520). Euler's totient φ(53520) = 14208 numbers up to 53520 share no factor with it.
- 4
The digits of 53520 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53520 = 2^{4} \times 3 \times 5 \times 223 \]53520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 166656 |
| Euler totient φ(n) | 14208 |
| Square | 2864390400 |
| Cube | 153302174208000 |
| Square root | 231.343900 (= 4√3345) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.352 × |
53520 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand five hundred and twenty |
| Binary (base 2) | 1101000100010000 |
| Octal (base 8) | 150420 |
| Hexadecimal (base 16) | D110 |
| Base 3 | 2201102020 |
| As time | 53520 seconds = 14 h 52 min 0 s |
Is 53520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53520 ÷ 2 = 26760) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53520 ÷ 3 = 17840) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53520 ÷ 4 = 13380) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53520 ÷ 5 = 10704) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53520 ÷ 6 = 8920) | 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 | Yes (53520 ÷ 8 = 6690) | 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 (53520 ÷ 10 = 5352) | 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 | Yes (53520 ÷ 12 = 4460) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53520 a prime number?
No. 53520 = × 3 × 5 × 223, so it is divisible by 2.
What are the factors of 53520?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 223, 240, 446, 669, 892, 1115, 1338, 1784, 2230, 2676, 3345, 3568, 4460, 5352, 6690, 8920, 10704, 13380, 17840, 26760, 53520.
What is 53520 in binary?
1101000100010000 (hexadecimal D110, octal 150420).
What is the square root of 53520?
About 231.3439, exactly 4√3345.
Is 53520 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 53520?
53520 is a Harshad number: divisible by its digit sum 15.