The number 16020
16020 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 89. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 16020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16020: a Harshad number: divisible by its digit sum 9.
- 2
16020 is composite. Its prime factorisation is
- 3
The divisors add up to 49140; without 16020 itself that is 33120, so 16020 is abundant (33120 is more than 16020). Euler's totient φ(16020) = 4224 numbers up to 16020 share no factor with it.
- 4
The digits of 16020 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16020 = 2^{2} \times 3^{2} \times 5 \times 89 \]16020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 49140 |
| Euler totient φ(n) | 4224 |
| Square | 256640400 |
| Cube | 4111379208000 |
| Square root | 126.570139 (= 6√445) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.602 × |
16020 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and twenty |
| Binary (base 2) | 11111010010100 |
| Octal (base 8) | 37224 |
| Hexadecimal (base 16) | 3E94 |
| Base 3 | 210222100 |
| As time | 16020 seconds = 4 h 27 min 0 s |
Is 16020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16020 ÷ 2 = 8010) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16020 ÷ 3 = 5340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16020 ÷ 4 = 4005) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16020 ÷ 5 = 3204) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16020 ÷ 6 = 2670) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16020 ÷ 9 = 1780) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16020 ÷ 10 = 1602) | 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 | Yes (16020 ÷ 12 = 1335) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16020 a prime number?
No. 16020 = × × 5 × 89, so it is divisible by 2.
What are the factors of 16020?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 89, 90, 178, 180, 267, 356, 445, 534, 801, 890, 1068, 1335, 1602, 1780, 2670, 3204, 4005, 5340, 8010, 16020.
What is 16020 in binary?
11111010010100 (hexadecimal 3E94, octal 37224).
What is the square root of 16020?
About 126.5701, exactly 6√445.
Is 16020 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 16020?
16020 is a Harshad number: divisible by its digit sum 9.