The number 46640
46640 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 53. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 53, 55, 80, 88 … 46640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46640: a Harshad number: divisible by its digit sum 20.
- 2
46640 is composite. Its prime factorisation is
- 3
The divisors add up to 120528; without 46640 itself that is 73888, so 46640 is abundant (73888 is more than 46640). Euler's totient φ(46640) = 16640 numbers up to 46640 share no factor with it.
- 4
The digits of 46640 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46640 = 2^{4} \times 5 \times 11 \times 53 \]46640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 120528 |
| Euler totient φ(n) | 16640 |
| Square | 2175289600 |
| Cube | 101455506944000 |
| Square root | 215.962960 (= 4√2915) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.664 × |
46640 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and forty |
| Binary (base 2) | 1011011000110000 |
| Octal (base 8) | 133060 |
| Hexadecimal (base 16) | B630 |
| Base 3 | 2100222102 |
| As time | 46640 seconds = 12 h 57 min 20 s |
Is 46640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46640 ÷ 2 = 23320) | 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 (46640 ÷ 4 = 11660) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46640 ÷ 5 = 9328) | 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 6) | 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 | Yes (46640 ÷ 8 = 5830) | 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 (46640 ÷ 10 = 4664) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46640 ÷ 11 = 4240) | 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 46640 a prime number?
No. 46640 = × 5 × 11 × 53, so it is divisible by 2.
What are the factors of 46640?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 53, 55, 80, 88, 106, 110, 176, 212, 220, 265, 424, 440, 530, 583, 848, 880, 1060, 1166, 2120, 2332, 2915, 4240, 4664, 5830, 9328, 11660, 23320, 46640.
What is 46640 in binary?
1011011000110000 (hexadecimal B630, octal 133060).
What is the square root of 46640?
About 215.9630, exactly 4√2915.
Is 46640 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 46640?
46640 is a Harshad number: divisible by its digit sum 20.