The number 74720
74720 is a composite number with 24 divisors. Its prime factorisation is × 5 × 467. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 467, 934, 1868, 2335 … 74720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74720: a Harshad number: divisible by its digit sum 20.
- 2
74720 is composite. Its prime factorisation is
- 3
The divisors add up to 176904; without 74720 itself that is 102184, so 74720 is abundant (102184 is more than 74720). Euler's totient φ(74720) = 29824 numbers up to 74720 share no factor with it.
- 4
The digits of 74720 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74720 = 2^{5} \times 5 \times 467 \]74720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 176904 |
| Euler totient φ(n) | 29824 |
| Square | 5583078400 |
| Cube | 417167618048000 |
| Square root | 273.349593 (= 4√4670) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.472 × |
74720 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and twenty |
| Binary (base 2) | 10010001111100000 |
| Octal (base 8) | 221740 |
| Hexadecimal (base 16) | 123E0 |
| Base 3 | 10210111102 |
| As time | 74720 seconds = 20 h 45 min 20 s |
Is 74720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74720 ÷ 2 = 37360) | 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 (74720 ÷ 4 = 18680) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74720 ÷ 5 = 14944) | 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 | 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 (74720 ÷ 8 = 9340) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74720 ÷ 10 = 7472) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 74720 a prime number?
No. 74720 = × 5 × 467, so it is divisible by 2.
What are the factors of 74720?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 467, 934, 1868, 2335, 3736, 4670, 7472, 9340, 14944, 18680, 37360, 74720.
What is 74720 in binary?
10010001111100000 (hexadecimal 123E0, octal 221740).
What is the square root of 74720?
About 273.3496, exactly 4√4670.
Is 74720 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 74720?
74720 is a Harshad number: divisible by its digit sum 20.