The number 40890
40890 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 29 × 47. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 29, 30, 47, 58, 87, 94, 141, 145, 174 … 40890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40890 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40890 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 40890 itself that is 62790, so 40890 is abundant (62790 is more than 40890). Euler's totient φ(40890) = 10304 numbers up to 40890 share no factor with it.
- 4
The digits of 40890 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40890 = 2 \times 3 \times 5 \times 29 \times 47 \]
40890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 10304 |
| Square | 1671992100 |
| Cube | 68367756969000 |
| Square root | 202.212759 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.089 × |
40890 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and ninety |
| Binary (base 2) | 1001111110111010 |
| Octal (base 8) | 117672 |
| Hexadecimal (base 16) | 9FBA |
| Base 3 | 2002002110 |
| As time | 40890 seconds = 11 h 21 min 30 s |
Is 40890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40890 ÷ 2 = 20445) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40890 ÷ 3 = 13630) | 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 (40890 ÷ 5 = 8178) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40890 ÷ 6 = 6815) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40890 ÷ 10 = 4089) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40890 a prime number?
No. 40890 = 2 × 3 × 5 × 29 × 47, so it is divisible by 2.
What are the factors of 40890?
1, 2, 3, 5, 6, 10, 15, 29, 30, 47, 58, 87, 94, 141, 145, 174, 235, 282, 290, 435, 470, 705, 870, 1363, 1410, 2726, 4089, 6815, 8178, 13630, 20445, 40890.
What is 40890 in binary?
1001111110111010 (hexadecimal 9FBA, octal 117672).
What is the square root of 40890?
About 202.2128.
Is 40890 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40890?
It is a composite number with 32 divisors.