The number 29520
29520 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 41. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30 … 29520.
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How to work it out
- 1
What is special about 29520: a Harshad number: divisible by its digit sum 18.
- 2
29520 is composite. Its prime factorisation is
- 3
The divisors add up to 101556; without 29520 itself that is 72036, so 29520 is abundant (72036 is more than 29520). Euler's totient φ(29520) = 7680 numbers up to 29520 share no factor with it.
- 4
The digits of 29520 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29520 = 2^{4} \times 3^{2} \times 5 \times 41 \]29520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 101556 |
| Euler totient φ(n) | 7680 |
| Square | 871430400 |
| Cube | 25724625408000 |
| Square root | 171.813853 (= 12√205) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 2.952 × |
29520 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand five hundred and twenty |
| Binary (base 2) | 111001101010000 |
| Octal (base 8) | 71520 |
| Hexadecimal (base 16) | 7350 |
| Base 3 | 1111111100 |
| As time | 29520 seconds = 8 h 12 min 0 s |
Is 29520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29520 ÷ 2 = 14760) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29520 ÷ 3 = 9840) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29520 ÷ 4 = 7380) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29520 ÷ 5 = 5904) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29520 ÷ 6 = 4920) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (29520 ÷ 8 = 3690) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29520 ÷ 9 = 3280) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29520 ÷ 10 = 2952) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29520 ÷ 12 = 2460) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29520 a prime number?
No. 29520 = × × 5 × 41, so it is divisible by 2.
What are the factors of 29520?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 41, 45, 48, 60, 72, 80, 82, 90, 120, 123, 144, 164, 180, 205, 240, 246, 328, 360, 369, 410, 492, 615, 656, 720, 738, 820, 984, 1230, 1476, 1640, 1845, 1968, 2460, 2952, 3280, 3690, 4920, 5904, 7380, 9840, 14760, 29520.
What is 29520 in binary?
111001101010000 (hexadecimal 7350, octal 71520).
What is the square root of 29520?
About 171.8139, exactly 12√205.
Is 29520 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29520?
29520 is a Harshad number: divisible by its digit sum 18.