The number 40820
40820 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 157. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 157, 260, 314, 628, 785 … 40820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40820 is composite. Its prime factorisation is
- 3
The divisors add up to 92904; without 40820 itself that is 52084, so 40820 is abundant (52084 is more than 40820). Euler's totient φ(40820) = 14976 numbers up to 40820 share no factor with it.
- 4
The digits of 40820 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40820 = 2^{2} \times 5 \times 13 \times 157 \]40820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 92904 |
| Euler totient φ(n) | 14976 |
| Square | 1666272400 |
| Cube | 68017239368000 |
| Square root | 202.039600 (= 2√10205) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.082 × |
40820 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and twenty |
| Binary (base 2) | 1001111101110100 |
| Octal (base 8) | 117564 |
| Hexadecimal (base 16) | 9F74 |
| Base 3 | 2001222212 |
| As time | 40820 seconds = 11 h 20 min 20 s |
Is 40820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40820 ÷ 2 = 20410) | 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 (40820 ÷ 4 = 10205) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40820 ÷ 5 = 8164) | 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40820 ÷ 10 = 4082) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 40820 a prime number?
No. 40820 = × 5 × 13 × 157, so it is divisible by 2.
What are the factors of 40820?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 157, 260, 314, 628, 785, 1570, 2041, 3140, 4082, 8164, 10205, 20410, 40820.
What is 40820 in binary?
1001111101110100 (hexadecimal 9F74, octal 117564).
What is the square root of 40820?
About 202.0396, exactly 2√10205.
Is 40820 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40820?
It is a composite number with 24 divisors.