The number 62240
62240 is a composite number with 24 divisors. Its prime factorisation is × 5 × 389. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 389, 778, 1556, 1945 … 62240.
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How to work it out
- 1
62240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
62240 is composite. Its prime factorisation is
- 3
The divisors add up to 147420; without 62240 itself that is 85180, so 62240 is abundant (85180 is more than 62240). Euler's totient φ(62240) = 24832 numbers up to 62240 share no factor with it.
- 4
The digits of 62240 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62240 = 2^{5} \times 5 \times 389 \]62240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 147420 |
| Euler totient φ(n) | 24832 |
| Square | 3873817600 |
| Cube | 241106407424000 |
| Square root | 249.479458 (= 4√3890) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.224 × |
62240 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand two hundred and forty |
| Binary (base 2) | 1111001100100000 |
| Octal (base 8) | 171440 |
| Hexadecimal (base 16) | F320 |
| Base 3 | 10011101012 |
| As time | 62240 seconds = 17 h 17 min 20 s |
Is 62240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62240 ÷ 2 = 31120) | 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 (62240 ÷ 4 = 15560) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (62240 ÷ 5 = 12448) | 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 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 | Yes (62240 ÷ 8 = 7780) | 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 (62240 ÷ 10 = 6224) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 62240 a prime number?
No. 62240 = × 5 × 389, so it is divisible by 2.
What are the factors of 62240?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 389, 778, 1556, 1945, 3112, 3890, 6224, 7780, 12448, 15560, 31120, 62240.
What is 62240 in binary?
1111001100100000 (hexadecimal F320, octal 171440).
What is the square root of 62240?
About 249.4795, exactly 4√3890.
Is 62240 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 62240?
It is a composite number with 24 divisors.