The number 75240
75240 is a composite number with 96 divisors. Its prime factorisation is × × 5 × 11 × 19. Divisors (96): 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 19, 20, 22 … 75240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75240: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
75240 is composite. Its prime factorisation is
- 3
The divisors add up to 280800; without 75240 itself that is 205560, so 75240 is abundant (205560 is more than 75240). Euler's totient φ(75240) = 17280 numbers up to 75240 share no factor with it.
- 4
The digits of 75240 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75240 = 2^{3} \times 3^{2} \times 5 \times 11 \times 19 \]75240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 96 |
| Sum of divisors | 280800 |
| Euler totient φ(n) | 17280 |
| Square | 5661057600 |
| Cube | 425937973824000 |
| Square root | 274.299107 (= 6√2090) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.524 × |
75240 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand two hundred and forty |
| Binary (base 2) | 10010010111101000 |
| Octal (base 8) | 222750 |
| Hexadecimal (base 16) | 125E8 |
| Base 3 | 10211012200 |
| As time | 75240 seconds = 20 h 54 min 0 s |
Is 75240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75240 ÷ 2 = 37620) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75240 ÷ 3 = 25080) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (75240 ÷ 4 = 18810) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (75240 ÷ 5 = 15048) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (75240 ÷ 6 = 12540) | 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 | Yes (75240 ÷ 8 = 9405) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (75240 ÷ 9 = 8360) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (75240 ÷ 10 = 7524) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (75240 ÷ 11 = 6840) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (75240 ÷ 12 = 6270) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75240 a prime number?
No. 75240 = × × 5 × 11 × 19, so it is divisible by 2.
What are the factors of 75240?
1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 19, 20, 22, 24, 30, 33, 36, 38, 40, 44, 45, 55, 57, 60, 66, 72, 76, 88, 90, 95, 99, 110, 114, 120, 132, 152, 165, 171, 180, 190, 198, 209, 220, 228, 264, 285, 330, 342, 360, 380, 396, 418, 440, 456, 495, 570, 627, 660, 684, 760, 792, 836, 855, 990, 1045, 1140, 1254, 1320, 1368, 1672, 1710, 1881, 1980, 2090, 2280, 2508, 3135, 3420, 3762, 3960, 4180, 5016, 6270, 6840, 7524, 8360, 9405, 12540, 15048, 18810, 25080, 37620, 75240.
What is 75240 in binary?
10010010111101000 (hexadecimal 125E8, octal 222750).
What is the square root of 75240?
About 274.2991, exactly 6√2090.
Is 75240 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 75240?
75240 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.