The number 40150
40150 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 73. Divisors (24): 1, 2, 5, 10, 11, 22, 25, 50, 55, 73, 110, 146, 275, 365, 550, 730 … 40150.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40150: a Harshad number: divisible by its digit sum 10.
- 2
40150 is composite. Its prime factorisation is
- 3
The divisors add up to 82584; without 40150 itself that is 42434, so 40150 is abundant (42434 is more than 40150). Euler's totient φ(40150) = 14400 numbers up to 40150 share no factor with it.
- 4
The digits of 40150 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40150 = 2 \times 5^{2} \times 11 \times 73 \]40150 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 82584 |
| Euler totient φ(n) | 14400 |
| Square | 1612022500 |
| Cube | 64722703375000 |
| Square root | 200.374649 (= 5√1606) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.015 × |
40150 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and fifty |
| Binary (base 2) | 1001110011010110 |
| Octal (base 8) | 116326 |
| Hexadecimal (base 16) | 9CD6 |
| Base 3 | 2001002001 |
| As time | 40150 seconds = 11 h 9 min 10 s |
Is 40150 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40150 ÷ 2 = 20075) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40150 ÷ 5 = 8030) | 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 5) | 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 6) | 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 (40150 ÷ 10 = 4015) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (40150 ÷ 11 = 3650) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40150 a prime number?
No. 40150 = 2 × × 11 × 73, so it is divisible by 2.
What are the factors of 40150?
1, 2, 5, 10, 11, 22, 25, 50, 55, 73, 110, 146, 275, 365, 550, 730, 803, 1606, 1825, 3650, 4015, 8030, 20075, 40150.
What is 40150 in binary?
1001110011010110 (hexadecimal 9CD6, octal 116326).
What is the square root of 40150?
About 200.3746, exactly 5√1606.
Is 40150 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40150?
40150 is a Harshad number: divisible by its digit sum 10.