The number 190
190 is a triangular number: 1 + 2 + … + 19 = 190. Its prime factorisation is 2 × 5 × 19. Divisors (8): 1, 2, 5, 10, 19, 38, 95, 190.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 190: a triangular number: 1 + 2 + … + 19 = 190; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
190 is composite. Its prime factorisation is
- 3
The divisors add up to 360; without 190 itself that is 170, so 190 is deficient (170 is less than 190). Euler's totient φ(190) = 72 numbers up to 190 share no factor with it.
- 4
The digits of 190 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 190 = 2 \times 5 \times 19 \]
190 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 360 |
| Euler totient φ(n) | 72 |
| Square | 36100 |
| Cube | 6859000 |
| Square root | 13.784049 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 1.9 × |
190 in other forms
| Form | Value |
|---|---|
| In words | one hundred and ninety |
| Roman numerals | CXC |
| Binary (base 2) | 10111110 |
| Octal (base 8) | 276 |
| Hexadecimal (base 16) | BE |
| Base 3 | 21001 |
| As time | 190 seconds = 3 min 10 s |
Is 190 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (190 ÷ 2 = 95) | 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 (190 ÷ 5 = 38) | 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 6) | 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 (190 ÷ 10 = 19) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 190 a prime number?
No. 190 = 2 × 5 × 19, so it is divisible by 2.
What are the factors of 190?
1, 2, 5, 10, 19, 38, 95, 190.
What is 190 in binary?
10111110 (hexadecimal BE, octal 276).
What is the square root of 190?
About 13.7840.
What is 190 in Roman numerals?
CXC.
Is 190 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 190?
190 is a triangular number: 1 + 2 + … + 19 = 190; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.