The number 40700
40700 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 37. Divisors (36): 1, 2, 4, 5, 10, 11, 20, 22, 25, 37, 44, 50, 55, 74, 100, 110 … 40700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40700: a Harshad number: divisible by its digit sum 11.
- 2
40700 is composite. Its prime factorisation is
- 3
The divisors add up to 98952; without 40700 itself that is 58252, so 40700 is abundant (58252 is more than 40700). Euler's totient φ(40700) = 14400 numbers up to 40700 share no factor with it.
- 4
The digits of 40700 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40700 = 2^{2} \times 5^{2} \times 11 \times 37 \]40700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 98952 |
| Euler totient φ(n) | 14400 |
| Square | 1656490000 |
| Cube | 67419143000000 |
| Square root | 201.742410 (= 10√407) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.07 × |
40700 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred |
| Binary (base 2) | 1001111011111100 |
| Octal (base 8) | 117374 |
| Hexadecimal (base 16) | 9EFC |
| Base 3 | 2001211102 |
| As time | 40700 seconds = 11 h 18 min 20 s |
Is 40700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40700 ÷ 2 = 20350) | 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 (40700 ÷ 4 = 10175) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40700 ÷ 5 = 8140) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40700 ÷ 10 = 4070) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (40700 ÷ 11 = 3700) | 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 40700 a prime number?
No. 40700 = × × 11 × 37, so it is divisible by 2.
What are the factors of 40700?
1, 2, 4, 5, 10, 11, 20, 22, 25, 37, 44, 50, 55, 74, 100, 110, 148, 185, 220, 275, 370, 407, 550, 740, 814, 925, 1100, 1628, 1850, 2035, 3700, 4070, 8140, 10175, 20350, 40700.
What is 40700 in binary?
1001111011111100 (hexadecimal 9EFC, octal 117374).
What is the square root of 40700?
About 201.7424, exactly 10√407.
Is 40700 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 40700?
40700 is a Harshad number: divisible by its digit sum 11.