The number 72140
72140 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3607. Divisors (12): 1, 2, 4, 5, 10, 20, 3607, 7214, 14428, 18035, 36070, 72140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72140: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72140 is composite. Its prime factorisation is
- 3
The divisors add up to 151536; without 72140 itself that is 79396, so 72140 is abundant (79396 is more than 72140). Euler's totient φ(72140) = 28848 numbers up to 72140 share no factor with it.
- 4
The digits of 72140 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
\[ 72140 = 2^{2} \times 5 \times 3607 \]72140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 151536 |
| Euler totient φ(n) | 28848 |
| Square | 5204179600 |
| Cube | 375429516344000 |
| Square root | 268.588905 (= 2√18035) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.214 × |
72140 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and forty |
| Binary (base 2) | 10001100111001100 |
| Octal (base 8) | 214714 |
| Hexadecimal (base 16) | 119CC |
| Base 3 | 10122221212 |
| As time | 72140 seconds = 20 h 2 min 20 s |
Is 72140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72140 ÷ 2 = 36070) | 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 (72140 ÷ 4 = 18035) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72140 ÷ 5 = 14428) | 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 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72140 ÷ 10 = 7214) | 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 72140 a prime number?
No. 72140 = × 5 × 3607, so it is divisible by 2.
What are the factors of 72140?
1, 2, 4, 5, 10, 20, 3607, 7214, 14428, 18035, 36070, 72140.
What is 72140 in binary?
10001100111001100 (hexadecimal 119CC, octal 214714).
What is the square root of 72140?
About 268.5889, exactly 2√18035.
Is 72140 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 72140?
72140 is a happy number: repeatedly adding the squares of its digits reaches 1.