The number 72010
72010 is a triangular number: 1 + 2 + … + 379 = 72010. Its prime factorisation is 2 × 5 × 19 × 379. Divisors (16): 1, 2, 5, 10, 19, 38, 95, 190, 379, 758, 1895, 3790, 7201, 14402, 36005, 72010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72010: a triangular number: 1 + 2 + … + 379 = 72010; a Harshad number: divisible by its digit sum 10.
- 2
72010 is composite. Its prime factorisation is
- 3
The divisors add up to 136800; without 72010 itself that is 64790, so 72010 is deficient (64790 is less than 72010). Euler's totient φ(72010) = 27216 numbers up to 72010 share no factor with it.
- 4
The digits of 72010 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72010 = 2 \times 5 \times 19 \times 379 \]
72010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 136800 |
| Euler totient φ(n) | 27216 |
| Square | 5185440100 |
| Cube | 373403541601000 |
| Square root | 268.346791 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.201 × |
72010 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and ten |
| Binary (base 2) | 10001100101001010 |
| Octal (base 8) | 214512 |
| Hexadecimal (base 16) | 1194A |
| Base 3 | 10122210001 |
| As time | 72010 seconds = 20 h 0 min 10 s |
Is 72010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72010 ÷ 2 = 36005) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72010 ÷ 5 = 14402) | 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 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72010 ÷ 10 = 7201) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72010 a prime number?
No. 72010 = 2 × 5 × 19 × 379, so it is divisible by 2.
What are the factors of 72010?
1, 2, 5, 10, 19, 38, 95, 190, 379, 758, 1895, 3790, 7201, 14402, 36005, 72010.
What is 72010 in binary?
10001100101001010 (hexadecimal 1194A, octal 214512).
What is the square root of 72010?
About 268.3468.
Is 72010 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 72010?
72010 is a triangular number: 1 + 2 + … + 379 = 72010; a Harshad number: divisible by its digit sum 10.