The number 40420
40420 is a composite number with 24 divisors. Its prime factorisation is × 5 × 43 × 47. Divisors (24): 1, 2, 4, 5, 10, 20, 43, 47, 86, 94, 172, 188, 215, 235, 430, 470 … 40420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40420: a Harshad number: divisible by its digit sum 10.
- 2
40420 is composite. Its prime factorisation is
- 3
The divisors add up to 88704; without 40420 itself that is 48284, so 40420 is abundant (48284 is more than 40420). Euler's totient φ(40420) = 15456 numbers up to 40420 share no factor with it.
- 4
The digits of 40420 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40420 = 2^{2} \times 5 \times 43 \times 47 \]40420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 88704 |
| Euler totient φ(n) | 15456 |
| Square | 1633776400 |
| Cube | 66037242088000 |
| Square root | 201.047258 (= 2√10105) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.042 × |
40420 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and twenty |
| Binary (base 2) | 1001110111100100 |
| Octal (base 8) | 116744 |
| Hexadecimal (base 16) | 9DE4 |
| Base 3 | 2001110001 |
| As time | 40420 seconds = 11 h 13 min 40 s |
Is 40420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40420 ÷ 2 = 20210) | 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 (40420 ÷ 4 = 10105) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40420 ÷ 5 = 8084) | 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 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40420 ÷ 10 = 4042) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 40420 a prime number?
No. 40420 = × 5 × 43 × 47, so it is divisible by 2.
What are the factors of 40420?
1, 2, 4, 5, 10, 20, 43, 47, 86, 94, 172, 188, 215, 235, 430, 470, 860, 940, 2021, 4042, 8084, 10105, 20210, 40420.
What is 40420 in binary?
1001110111100100 (hexadecimal 9DE4, octal 116744).
What is the square root of 40420?
About 201.0473, exactly 2√10105.
Is 40420 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40420?
40420 is a Harshad number: divisible by its digit sum 10.