The number 29920
29920 is a composite number with 48 divisors. Its prime factorisation is × 5 × 11 × 17. Divisors (48): 1, 2, 4, 5, 8, 10, 11, 16, 17, 20, 22, 32, 34, 40, 44, 55 … 29920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29920: a Harshad number: divisible by its digit sum 22.
- 2
29920 is composite. Its prime factorisation is
- 3
The divisors add up to 81648; without 29920 itself that is 51728, so 29920 is abundant (51728 is more than 29920). Euler's totient φ(29920) = 10240 numbers up to 29920 share no factor with it.
- 4
The digits of 29920 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29920 = 2^{5} \times 5 \times 11 \times 17 \]29920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 81648 |
| Euler totient φ(n) | 10240 |
| Square | 895206400 |
| Cube | 26784575488000 |
| Square root | 172.973986 (= 4√1870) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.992 × |
29920 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and twenty |
| Binary (base 2) | 111010011100000 |
| Octal (base 8) | 72340 |
| Hexadecimal (base 16) | 74E0 |
| Base 3 | 1112001011 |
| As time | 29920 seconds = 8 h 18 min 40 s |
Is 29920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29920 ÷ 2 = 14960) | 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 (29920 ÷ 4 = 7480) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29920 ÷ 5 = 5984) | 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 | No (remainder 2) | 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 (29920 ÷ 8 = 3740) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29920 ÷ 10 = 2992) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29920 ÷ 11 = 2720) | 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 29920 a prime number?
No. 29920 = × 5 × 11 × 17, so it is divisible by 2.
What are the factors of 29920?
1, 2, 4, 5, 8, 10, 11, 16, 17, 20, 22, 32, 34, 40, 44, 55, 68, 80, 85, 88, 110, 136, 160, 170, 176, 187, 220, 272, 340, 352, 374, 440, 544, 680, 748, 880, 935, 1360, 1496, 1760, 1870, 2720, 2992, 3740, 5984, 7480, 14960, 29920.
What is 29920 in binary?
111010011100000 (hexadecimal 74E0, octal 72340).
What is the square root of 29920?
About 172.9740, exactly 4√1870.
Is 29920 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 29920?
29920 is a Harshad number: divisible by its digit sum 22.