The number 16240
16240 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 29. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 35, 40, 56, 58 … 16240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16240 is composite. Its prime factorisation is
- 3
The divisors add up to 44640; without 16240 itself that is 28400, so 16240 is abundant (28400 is more than 16240). Euler's totient φ(16240) = 5376 numbers up to 16240 share no factor with it.
- 4
The digits of 16240 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16240 = 2^{4} \times 5 \times 7 \times 29 \]16240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 44640 |
| Euler totient φ(n) | 5376 |
| Square | 263737600 |
| Cube | 4283098624000 |
| Square root | 127.436259 (= 4√1015) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.624 × |
16240 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and forty |
| Binary (base 2) | 11111101110000 |
| Octal (base 8) | 37560 |
| Hexadecimal (base 16) | 3F70 |
| Base 3 | 211021111 |
| As time | 16240 seconds = 4 h 30 min 40 s |
Is 16240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16240 ÷ 2 = 8120) | 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 (16240 ÷ 4 = 4060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16240 ÷ 5 = 3248) | 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 | Yes (16240 ÷ 7 = 2320) | 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 (16240 ÷ 8 = 2030) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16240 ÷ 10 = 1624) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 16240 a prime number?
No. 16240 = × 5 × 7 × 29, so it is divisible by 2.
What are the factors of 16240?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 35, 40, 56, 58, 70, 80, 112, 116, 140, 145, 203, 232, 280, 290, 406, 464, 560, 580, 812, 1015, 1160, 1624, 2030, 2320, 3248, 4060, 8120, 16240.
What is 16240 in binary?
11111101110000 (hexadecimal 3F70, octal 37560).
What is the square root of 16240?
About 127.4363, exactly 4√1015.
Is 16240 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 16240?
It is a composite number with 40 divisors.