The number 16040
16040 is a composite number with 16 divisors. Its prime factorisation is × 5 × 401. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 401, 802, 1604, 2005, 3208, 4010, 8020, 16040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16040 is composite. Its prime factorisation is
- 3
The divisors add up to 36180; without 16040 itself that is 20140, so 16040 is abundant (20140 is more than 16040). Euler's totient φ(16040) = 6400 numbers up to 16040 share no factor with it.
- 4
The digits of 16040 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16040 = 2^{3} \times 5 \times 401 \]16040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 36180 |
| Euler totient φ(n) | 6400 |
| Square | 257281600 |
| Cube | 4126796864000 |
| Square root | 126.649122 (= 2√4010) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.604 × |
16040 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and forty |
| Binary (base 2) | 11111010101000 |
| Octal (base 8) | 37250 |
| Hexadecimal (base 16) | 3EA8 |
| Base 3 | 211000002 |
| As time | 16040 seconds = 4 h 27 min 20 s |
Is 16040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16040 ÷ 2 = 8020) | 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 (16040 ÷ 4 = 4010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16040 ÷ 5 = 3208) | 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 (16040 ÷ 8 = 2005) | 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 (16040 ÷ 10 = 1604) | 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 16040 a prime number?
No. 16040 = × 5 × 401, so it is divisible by 2.
What are the factors of 16040?
1, 2, 4, 5, 8, 10, 20, 40, 401, 802, 1604, 2005, 3208, 4010, 8020, 16040.
What is 16040 in binary?
11111010101000 (hexadecimal 3EA8, octal 37250).
What is the square root of 16040?
About 126.6491, exactly 2√4010.
Is 16040 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 16040?
It is a composite number with 16 divisors.