The number 40140
40140 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 223. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 40140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40140: a Harshad number: divisible by its digit sum 9.
- 2
40140 is composite. Its prime factorisation is
- 3
The divisors add up to 122304; without 40140 itself that is 82164, so 40140 is abundant (82164 is more than 40140). Euler's totient φ(40140) = 10656 numbers up to 40140 share no factor with it.
- 4
The digits of 40140 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40140 = 2^{2} \times 3^{2} \times 5 \times 223 \]40140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 122304 |
| Euler totient φ(n) | 10656 |
| Square | 1611219600 |
| Cube | 64674354744000 |
| Square root | 200.349694 (= 6√1115) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.014 × |
40140 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and forty |
| Binary (base 2) | 1001110011001100 |
| Octal (base 8) | 116314 |
| Hexadecimal (base 16) | 9CCC |
| Base 3 | 2001001200 |
| As time | 40140 seconds = 11 h 9 min 0 s |
Is 40140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40140 ÷ 2 = 20070) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40140 ÷ 3 = 13380) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40140 ÷ 4 = 10035) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40140 ÷ 5 = 8028) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40140 ÷ 6 = 6690) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (40140 ÷ 9 = 4460) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40140 ÷ 10 = 4014) | 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 | Yes (40140 ÷ 12 = 3345) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40140 a prime number?
No. 40140 = × × 5 × 223, so it is divisible by 2.
What are the factors of 40140?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 223, 446, 669, 892, 1115, 1338, 2007, 2230, 2676, 3345, 4014, 4460, 6690, 8028, 10035, 13380, 20070, 40140.
What is 40140 in binary?
1001110011001100 (hexadecimal 9CCC, octal 116314).
What is the square root of 40140?
About 200.3497, exactly 6√1115.
Is 40140 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40140?
40140 is a Harshad number: divisible by its digit sum 9.