The number 40240
40240 is a composite number with 20 divisors. Its prime factorisation is × 5 × 503. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 503, 1006, 2012, 2515, 4024, 5030 … 40240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40240: a Harshad number: divisible by its digit sum 10.
- 2
40240 is composite. Its prime factorisation is
- 3
The divisors add up to 93744; without 40240 itself that is 53504, so 40240 is abundant (53504 is more than 40240). Euler's totient φ(40240) = 16064 numbers up to 40240 share no factor with it.
- 4
The digits of 40240 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40240 = 2^{4} \times 5 \times 503 \]40240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 93744 |
| Euler totient φ(n) | 16064 |
| Square | 1619257600 |
| Cube | 65158925824000 |
| Square root | 200.599103 (= 4√2515) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.024 × |
40240 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and forty |
| Binary (base 2) | 1001110100110000 |
| Octal (base 8) | 116460 |
| Hexadecimal (base 16) | 9D30 |
| Base 3 | 2001012101 |
| As time | 40240 seconds = 11 h 10 min 40 s |
Is 40240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40240 ÷ 2 = 20120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40240 ÷ 4 = 10060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40240 ÷ 5 = 8048) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (40240 ÷ 8 = 5030) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40240 ÷ 10 = 4024) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40240 a prime number?
No. 40240 = × 5 × 503, so it is divisible by 2.
What are the factors of 40240?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 503, 1006, 2012, 2515, 4024, 5030, 8048, 10060, 20120, 40240.
What is 40240 in binary?
1001110100110000 (hexadecimal 9D30, octal 116460).
What is the square root of 40240?
About 200.5991, exactly 4√2515.
Is 40240 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40240?
40240 is a Harshad number: divisible by its digit sum 10.