1360
1360 is a even composite number that follows 1359 and precedes 1361. It is composed of 20 distinct factors: 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360. Its prime factorization can be written as 2^4 × 5 × 17. 1360 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1360 is represented as 10101010000 in binary and 550 in hexadecimal. Historically, it is written as MCCCLX in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 5 × 17) reveals 6 prime building blocks.
Divisible by 2
1360 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 60 form a multiple of 4.
Divisible by 5
1360 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 10 is not a multiple of 9.
Divisible by 10
1360 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 1360 within several notable number theory sequences:
Timeline
Deep dive
How 1360 breaks down
1360 carries 20 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 1988, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10101010000 supports bitwise reasoning, hexadecimal 550 aligns with computing notation, and the Roman numeral MCCCLX keeps the encyclopedic tradition alive. These attributes make 1360 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1360 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1355–1365) to tune search ranges, and educators feature 1360 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 1360 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 1360
Is 1360 a prime number?
1360 is composite with 20 total factors and the prime factorization 2^4 × 5 × 17.
What is the prime factorization of 1360?
It breaks down as 2^4 × 5 × 17, multiplying the primes 2 × 2 × 2 × 2 × 5 × 17.
How is 1360 represented in binary and hexadecimal?
1360 converts to 10101010000 in binary and 550 in hexadecimal, which are helpful for computer science applications.
Is 1360 a perfect square, cube, or triangular number?
1360 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1360?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.