The number 74240
74240 is a composite number with 40 divisors. Its prime factorisation is × 5 × 29. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 128 … 74240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74240 is composite. Its prime factorisation is
- 3
The divisors add up to 184140; without 74240 itself that is 109900, so 74240 is abundant (109900 is more than 74240). Euler's totient φ(74240) = 28672 numbers up to 74240 share no factor with it.
- 4
The digits of 74240 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74240 = 2^{9} \times 5 \times 29 \]74240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 184140 |
| Euler totient φ(n) | 28672 |
| Square | 5511577600 |
| Cube | 409179521024000 |
| Square root | 272.470182 (= 16√290) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.424 × |
74240 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand two hundred and forty |
| Binary (base 2) | 10010001000000000 |
| Octal (base 8) | 221000 |
| Hexadecimal (base 16) | 12200 |
| Base 3 | 10202211122 |
| As time | 74240 seconds = 20 h 37 min 20 s |
Is 74240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74240 ÷ 2 = 37120) | 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 (74240 ÷ 4 = 18560) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74240 ÷ 5 = 14848) | 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 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 (74240 ÷ 8 = 9280) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74240 ÷ 10 = 7424) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 74240 a prime number?
No. 74240 = × 5 × 29, so it is divisible by 2.
What are the factors of 74240?
1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 128, 145, 160, 232, 256, 290, 320, 464, 512, 580, 640, 928, 1160, 1280, 1856, 2320, 2560, 3712, 4640, 7424, 9280, 14848, 18560, 37120, 74240.
What is 74240 in binary?
10010001000000000 (hexadecimal 12200, octal 221000).
What is the square root of 74240?
About 272.4702, exactly 16√290.
Is 74240 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 74240?
It is a composite number with 40 divisors.