The number 46240
46240 is a composite number with 36 divisors. Its prime factorisation is × 5 × . Divisors (36): 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136 … 46240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46240: a Harshad number: divisible by its digit sum 16.
- 2
46240 is composite. Its prime factorisation is
- 3
The divisors add up to 116046; without 46240 itself that is 69806, so 46240 is abundant (69806 is more than 46240). Euler's totient φ(46240) = 17408 numbers up to 46240 share no factor with it.
- 4
The digits of 46240 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46240 = 2^{5} \times 5 \times 17^{2} \]46240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 116046 |
| Euler totient φ(n) | 17408 |
| Square | 2138137600 |
| Cube | 98867482624000 |
| Square root | 215.034881 (= 68√10) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.624 × |
46240 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand two hundred and forty |
| Binary (base 2) | 1011010010100000 |
| Octal (base 8) | 132240 |
| Hexadecimal (base 16) | B4A0 |
| Base 3 | 2100102121 |
| As time | 46240 seconds = 12 h 50 min 40 s |
Is 46240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46240 ÷ 2 = 23120) | 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 | Yes (46240 ÷ 4 = 11560) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46240 ÷ 5 = 9248) | 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 | Yes (46240 ÷ 8 = 5780) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46240 ÷ 10 = 4624) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46240 a prime number?
No. 46240 = × 5 × , so it is divisible by 2.
What are the factors of 46240?
1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 289, 340, 544, 578, 680, 1156, 1360, 1445, 2312, 2720, 2890, 4624, 5780, 9248, 11560, 23120, 46240.
What is 46240 in binary?
1011010010100000 (hexadecimal B4A0, octal 132240).
What is the square root of 46240?
About 215.0349, exactly 68√10.
Is 46240 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 46240?
46240 is a Harshad number: divisible by its digit sum 16.