The number 40620
40620 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 677. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 677, 1354, 2031, 2708 … 40620.
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How to work it out
- 1
What is special about 40620: a Harshad number: divisible by its digit sum 12.
- 2
40620 is composite. Its prime factorisation is
- 3
The divisors add up to 113904; without 40620 itself that is 73284, so 40620 is abundant (73284 is more than 40620). Euler's totient φ(40620) = 10816 numbers up to 40620 share no factor with it.
- 4
The digits of 40620 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40620 = 2^{2} \times 3 \times 5 \times 677 \]40620 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 113904 |
| Euler totient φ(n) | 10816 |
| Square | 1649984400 |
| Cube | 67022366328000 |
| Square root | 201.544040 (= 2√10155) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.062 × |
40620 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and twenty |
| Binary (base 2) | 1001111010101100 |
| Octal (base 8) | 117254 |
| Hexadecimal (base 16) | 9EAC |
| Base 3 | 2001201110 |
| As time | 40620 seconds = 11 h 17 min 0 s |
Is 40620 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40620 ÷ 2 = 20310) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40620 ÷ 3 = 13540) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40620 ÷ 4 = 10155) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40620 ÷ 5 = 8124) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40620 ÷ 6 = 6770) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40620 ÷ 10 = 4062) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40620 ÷ 12 = 3385) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40620 a prime number?
No. 40620 = × 3 × 5 × 677, so it is divisible by 2.
What are the factors of 40620?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 677, 1354, 2031, 2708, 3385, 4062, 6770, 8124, 10155, 13540, 20310, 40620.
What is 40620 in binary?
1001111010101100 (hexadecimal 9EAC, octal 117254).
What is the square root of 40620?
About 201.5440, exactly 2√10155.
Is 40620 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40620?
40620 is a Harshad number: divisible by its digit sum 12.