The number 29120
29120 is a composite number with 56 divisors. Its prime factorisation is × 5 × 7 × 13. Divisors (56): 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 32, 35, 40 … 29120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29120: a Harshad number: divisible by its digit sum 14.
- 2
29120 is composite. Its prime factorisation is
- 3
The divisors add up to 85344; without 29120 itself that is 56224, so 29120 is abundant (56224 is more than 29120). Euler's totient φ(29120) = 9216 numbers up to 29120 share no factor with it.
- 4
The digits of 29120 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29120 = 2^{6} \times 5 \times 7 \times 13 \]29120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 85344 |
| Euler totient φ(n) | 9216 |
| Square | 847974400 |
| Cube | 24693014528000 |
| Square root | 170.645832 (= 8√455) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.912 × |
29120 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand one hundred and twenty |
| Binary (base 2) | 111000111000000 |
| Octal (base 8) | 70700 |
| Hexadecimal (base 16) | 71C0 |
| Base 3 | 1110221112 |
| As time | 29120 seconds = 8 h 5 min 20 s |
Is 29120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29120 ÷ 2 = 14560) | 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 (29120 ÷ 4 = 7280) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29120 ÷ 5 = 5824) | 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 | Yes (29120 ÷ 7 = 4160) | 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 (29120 ÷ 8 = 3640) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29120 ÷ 10 = 2912) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 29120 a prime number?
No. 29120 = × 5 × 7 × 13, so it is divisible by 2.
What are the factors of 29120?
1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 32, 35, 40, 52, 56, 64, 65, 70, 80, 91, 104, 112, 130, 140, 160, 182, 208, 224, 260, 280, 320, 364, 416, 448, 455, 520, 560, 728, 832, 910, 1040, 1120, 1456, 1820, 2080, 2240, 2912, 3640, 4160, 5824, 7280, 14560, 29120.
What is 29120 in binary?
111000111000000 (hexadecimal 71C0, octal 70700).
What is the square root of 29120?
About 170.6458, exactly 8√455.
Is 29120 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 29120?
29120 is a Harshad number: divisible by its digit sum 14.