The number 74640
74640 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 311. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 74640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74640 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74640 is composite. Its prime factorisation is
- 3
The divisors add up to 232128; without 74640 itself that is 157488, so 74640 is abundant (157488 is more than 74640). Euler's totient φ(74640) = 19840 numbers up to 74640 share no factor with it.
- 4
The digits of 74640 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74640 = 2^{4} \times 3 \times 5 \times 311 \]74640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 232128 |
| Euler totient φ(n) | 19840 |
| Square | 5571129600 |
| Cube | 415829113344000 |
| Square root | 273.203221 (= 4√4665) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.464 × |
74640 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand six hundred and forty |
| Binary (base 2) | 10010001110010000 |
| Octal (base 8) | 221620 |
| Hexadecimal (base 16) | 12390 |
| Base 3 | 10210101110 |
| As time | 74640 seconds = 20 h 44 min 0 s |
Is 74640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74640 ÷ 2 = 37320) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74640 ÷ 3 = 24880) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74640 ÷ 4 = 18660) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74640 ÷ 5 = 14928) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74640 ÷ 6 = 12440) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (74640 ÷ 8 = 9330) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74640 ÷ 10 = 7464) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74640 ÷ 12 = 6220) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74640 a prime number?
No. 74640 = × 3 × 5 × 311, so it is divisible by 2.
What are the factors of 74640?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 311, 622, 933, 1244, 1555, 1866, 2488, 3110, 3732, 4665, 4976, 6220, 7464, 9330, 12440, 14928, 18660, 24880, 37320, 74640.
What is 74640 in binary?
10010001110010000 (hexadecimal 12390, octal 221620).
What is the square root of 74640?
About 273.2032, exactly 4√4665.
Is 74640 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 74640?
It is a composite number with 40 divisors.