The number 40380
40380 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 673. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 673, 1346, 2019, 2692 … 40380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40380: a Harshad number: divisible by its digit sum 15.
- 2
40380 is composite. Its prime factorisation is
- 3
The divisors add up to 113232; without 40380 itself that is 72852, so 40380 is abundant (72852 is more than 40380). Euler's totient φ(40380) = 10752 numbers up to 40380 share no factor with it.
- 4
The digits of 40380 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40380 = 2^{2} \times 3 \times 5 \times 673 \]40380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 113232 |
| Euler totient φ(n) | 10752 |
| Square | 1630544400 |
| Cube | 65841382872000 |
| Square root | 200.947754 (= 2√10095) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.038 × |
40380 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and eighty |
| Binary (base 2) | 1001110110111100 |
| Octal (base 8) | 116674 |
| Hexadecimal (base 16) | 9DBC |
| Base 3 | 2001101120 |
| As time | 40380 seconds = 11 h 13 min 0 s |
Is 40380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40380 ÷ 2 = 20190) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40380 ÷ 3 = 13460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40380 ÷ 4 = 10095) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40380 ÷ 5 = 8076) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40380 ÷ 6 = 6730) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40380 ÷ 10 = 4038) | 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 | Yes (40380 ÷ 12 = 3365) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40380 a prime number?
No. 40380 = × 3 × 5 × 673, so it is divisible by 2.
What are the factors of 40380?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 673, 1346, 2019, 2692, 3365, 4038, 6730, 8076, 10095, 13460, 20190, 40380.
What is 40380 in binary?
1001110110111100 (hexadecimal 9DBC, octal 116674).
What is the square root of 40380?
About 200.9478, exactly 2√10095.
Is 40380 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40380?
40380 is a Harshad number: divisible by its digit sum 15.