1190
1190 is a even composite number that follows 1189 and precedes 1191. It is composed of 16 distinct factors: 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190. Its prime factorization can be written as 2 × 5 × 7 × 17. 1190 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1190 is represented as 10010100110 in binary and 4A6 in hexadecimal. Historically, it is written as MCXC in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 7 × 17) reveals 4 prime building blocks.
Divisible by 2
1190 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
1190 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 11 is not a multiple of 9.
Divisible by 10
1190 ends in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 1190 within several notable number theory sequences:
Timeline
Deep dive
How 1190 breaks down
1190 carries 16 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 1402, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010100110 supports bitwise reasoning, hexadecimal 4A6 aligns with computing notation, and the Roman numeral MCXC keeps the encyclopedic tradition alive. These attributes make 1190 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1190 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1185–1195) to tune search ranges, and educators feature 1190 in worksheets about factor trees. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 1190 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 1190
Is 1190 a prime number?
1190 is composite with 16 total factors and the prime factorization 2 × 5 × 7 × 17.
What is the prime factorization of 1190?
It breaks down as 2 × 5 × 7 × 17, multiplying the primes 2 × 5 × 7 × 17.
How is 1190 represented in binary and hexadecimal?
1190 converts to 10010100110 in binary and 4A6 in hexadecimal, which are helpful for computer science applications.
Is 1190 a perfect square, cube, or triangular number?
1190 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1190?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.