1240
1240 is a even composite number that follows 1239 and precedes 1241. It is composed of 16 distinct factors: 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240. Its prime factorization can be written as 2^3 × 5 × 31. 1240 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1240 is represented as 10011011000 in binary and 4D8 in hexadecimal. Historically, it is written as MCCXL in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 5 × 31) reveals 5 prime building blocks.
Divisible by 2
1240 ends in 0, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
1240 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 7 is not a multiple of 9.
Divisible by 10
1240 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 1240 within several notable number theory sequences:
Timeline
Deep dive
How 1240 breaks down
1240 carries 16 distinct factors and a digit signature of 7 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 1640, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011011000 supports bitwise reasoning, hexadecimal 4D8 aligns with computing notation, and the Roman numeral MCCXL keeps the encyclopedic tradition alive. These attributes make 1240 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1240 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1235–1245) to tune search ranges, and educators feature 1240 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 1240 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 1240
Is 1240 a prime number?
1240 is composite with 16 total factors and the prime factorization 2^3 × 5 × 31.
What is the prime factorization of 1240?
It breaks down as 2^3 × 5 × 31, multiplying the primes 2 × 2 × 2 × 5 × 31.
How is 1240 represented in binary and hexadecimal?
1240 converts to 10011011000 in binary and 4D8 in hexadecimal, which are helpful for computer science applications.
Is 1240 a perfect square, cube, or triangular number?
1240 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1240?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.