The number 74540
74540 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3727. Divisors (12): 1, 2, 4, 5, 10, 20, 3727, 7454, 14908, 18635, 37270, 74540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74540: a Harshad number: divisible by its digit sum 20.
- 2
74540 is composite. Its prime factorisation is
- 3
The divisors add up to 156576; without 74540 itself that is 82036, so 74540 is abundant (82036 is more than 74540). Euler's totient φ(74540) = 29808 numbers up to 74540 share no factor with it.
- 4
The digits of 74540 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
\[ 74540 = 2^{2} \times 5 \times 3727 \]74540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 156576 |
| Euler totient φ(n) | 29808 |
| Square | 5556211600 |
| Cube | 414160012664000 |
| Square root | 273.020146 (= 2√18635) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.454 × |
74540 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand five hundred and forty |
| Binary (base 2) | 10010001100101100 |
| Octal (base 8) | 221454 |
| Hexadecimal (base 16) | 1232C |
| Base 3 | 10210020202 |
| As time | 74540 seconds = 20 h 42 min 20 s |
Is 74540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74540 ÷ 2 = 37270) | 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 (74540 ÷ 4 = 18635) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74540 ÷ 5 = 14908) | 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 4) | 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 | No (remainder 4) | 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 (74540 ÷ 10 = 7454) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 74540 a prime number?
No. 74540 = × 5 × 3727, so it is divisible by 2.
What are the factors of 74540?
1, 2, 4, 5, 10, 20, 3727, 7454, 14908, 18635, 37270, 74540.
What is 74540 in binary?
10010001100101100 (hexadecimal 1232C, octal 221454).
What is the square root of 74540?
About 273.0201, exactly 2√18635.
Is 74540 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 74540?
74540 is a Harshad number: divisible by its digit sum 20.