The number 72020
72020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 277. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 277, 554, 1108, 1385 … 72020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72020 is composite. Its prime factorisation is
- 3
The divisors add up to 163464; without 72020 itself that is 91444, so 72020 is abundant (91444 is more than 72020). Euler's totient φ(72020) = 26496 numbers up to 72020 share no factor with it.
- 4
The digits of 72020 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72020 = 2^{2} \times 5 \times 13 \times 277 \]72020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 163464 |
| Euler totient φ(n) | 26496 |
| Square | 5186880400 |
| Cube | 373559126408000 |
| Square root | 268.365423 (= 2√18005) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.202 × |
72020 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and twenty |
| Binary (base 2) | 10001100101010100 |
| Octal (base 8) | 214524 |
| Hexadecimal (base 16) | 11954 |
| Base 3 | 10122210102 |
| As time | 72020 seconds = 20 h 0 min 20 s |
Is 72020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72020 ÷ 2 = 36010) | 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 (72020 ÷ 4 = 18005) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72020 ÷ 5 = 14404) | 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 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72020 ÷ 10 = 7202) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 72020 a prime number?
No. 72020 = × 5 × 13 × 277, so it is divisible by 2.
What are the factors of 72020?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 277, 554, 1108, 1385, 2770, 3601, 5540, 7202, 14404, 18005, 36010, 72020.
What is 72020 in binary?
10001100101010100 (hexadecimal 11954, octal 214524).
What is the square root of 72020?
About 268.3654, exactly 2√18005.
Is 72020 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 72020?
It is a composite number with 24 divisors.