240
240 is a even composite number that follows 239 and precedes 241. It is composed of 20 distinct factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240. Its prime factorization can be written as 2^4 × 3 × 5. 240 is classified as a abundant number based on the sum of its proper divisors. In computer science, 240 is represented as 11110000 in binary and F0 in hexadecimal. Historically, it is written as CCXL in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 3 × 5) reveals 6 prime building blocks.
Divisible by 2
240 ends in 0, so it is even.
Divisible by 3
The digit sum 6 is a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
240 ends in 0, so it is divisible by 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 6 is not a multiple of 9.
Divisible by 10
240 ends in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 240 within several notable number theory sequences:
Timeline
Deep dive
How 240 breaks down
240 carries 20 distinct factors and a digit signature of 6 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 504, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11110000 supports bitwise reasoning, hexadecimal F0 aligns with computing notation, and the Roman numeral CCXL keeps the encyclopedic tradition alive. These attributes make 240 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 240 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (235–245) to tune search ranges, and educators feature 240 in worksheets about factor trees. Its binary footprint of length 8 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 240 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 240
Is 240 a prime number?
240 is composite with 20 total factors and the prime factorization 2^4 × 3 × 5.
What is the prime factorization of 240?
It breaks down as 2^4 × 3 × 5, multiplying the primes 2 × 2 × 2 × 2 × 3 × 5.
How is 240 represented in binary and hexadecimal?
240 converts to 11110000 in binary and F0 in hexadecimal, which are helpful for computer science applications.
Is 240 a perfect square, cube, or triangular number?
240 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 240?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.