The number 40370
40370 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 367. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 367, 734, 1835, 3670, 4037, 8074, 20185, 40370.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40370 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40370 is composite. Its prime factorisation is
- 3
The divisors add up to 79488; without 40370 itself that is 39118, so 40370 is deficient (39118 is less than 40370). Euler's totient φ(40370) = 14640 numbers up to 40370 share no factor with it.
- 4
The digits of 40370 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40370 = 2 \times 5 \times 11 \times 367 \]
40370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79488 |
| Euler totient φ(n) | 14640 |
| Square | 1629736900 |
| Cube | 65792478653000 |
| Square root | 200.922871 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.037 × |
40370 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and seventy |
| Binary (base 2) | 1001110110110010 |
| Octal (base 8) | 116662 |
| Hexadecimal (base 16) | 9DB2 |
| Base 3 | 2001101012 |
| As time | 40370 seconds = 11 h 12 min 50 s |
Is 40370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40370 ÷ 2 = 20185) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40370 ÷ 5 = 8074) | 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 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40370 ÷ 10 = 4037) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (40370 ÷ 11 = 3670) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40370 a prime number?
No. 40370 = 2 × 5 × 11 × 367, so it is divisible by 2.
What are the factors of 40370?
1, 2, 5, 10, 11, 22, 55, 110, 367, 734, 1835, 3670, 4037, 8074, 20185, 40370.
What is 40370 in binary?
1001110110110010 (hexadecimal 9DB2, octal 116662).
What is the square root of 40370?
About 200.9229.
Is 40370 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40370?
It is a composite number with 16 divisors.