The number 40740
40740 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 7 × 97. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 40740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40740: a Harshad number: divisible by its digit sum 15.
- 2
40740 is composite. Its prime factorisation is
- 3
The divisors add up to 131712; without 40740 itself that is 90972, so 40740 is abundant (90972 is more than 40740). Euler's totient φ(40740) = 9216 numbers up to 40740 share no factor with it.
- 4
The digits of 40740 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40740 = 2^{2} \times 3 \times 5 \times 7 \times 97 \]40740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 131712 |
| Euler totient φ(n) | 9216 |
| Square | 1659747600 |
| Cube | 67618117224000 |
| Square root | 201.841522 (= 2√10185) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.074 × |
40740 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and forty |
| Binary (base 2) | 1001111100100100 |
| Octal (base 8) | 117444 |
| Hexadecimal (base 16) | 9F24 |
| Base 3 | 2001212220 |
| As time | 40740 seconds = 11 h 19 min 0 s |
Is 40740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40740 ÷ 2 = 20370) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40740 ÷ 3 = 13580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40740 ÷ 4 = 10185) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40740 ÷ 5 = 8148) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40740 ÷ 6 = 6790) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40740 ÷ 7 = 5820) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40740 ÷ 10 = 4074) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40740 ÷ 12 = 3395) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40740 a prime number?
No. 40740 = × 3 × 5 × 7 × 97, so it is divisible by 2.
What are the factors of 40740?
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 97, 105, 140, 194, 210, 291, 388, 420, 485, 582, 679, 970, 1164, 1358, 1455, 1940, 2037, 2716, 2910, 3395, 4074, 5820, 6790, 8148, 10185, 13580, 20370, 40740.
What is 40740 in binary?
1001111100100100 (hexadecimal 9F24, octal 117444).
What is the square root of 40740?
About 201.8415, exactly 2√10185.
Is 40740 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40740?
40740 is a Harshad number: divisible by its digit sum 15.