24090
24090 is a even composite number that follows 24089 and precedes 24091. It is composed of 32 distinct factors: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 73, 110, 146, 165, 219, 330, 365, 438, 730, 803, 1095, 1606, 2190, 2409, 4015, 4818, 8030, 12045, 24090. Its prime factorization can be written as 2 × 3 × 5 × 11 × 73. 24090 is classified as a abundant number based on the sum of its proper divisors. In computer science, 24090 is represented as 101111000011010 in binary and 5E1A in hexadecimal. It also belongs to the triangular number sequence.
Factor Analysis
32 FactorsProperties
The prime factorization (2 × 3 × 5 × 11 × 73) reveals 5 prime building blocks.
Divisible by 2
24090 ends in 0, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
24090 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 15 is not a multiple of 9.
Divisible by 10
24090 ends in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Abundant classification and digit analytics place 24090 within several notable number theory sequences:
Timeline
Deep dive
How 24090 breaks down
24090 carries 32 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 39846, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111000011010 supports bitwise reasoning, hexadecimal 5E1A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 24090 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 24090 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (24085–24095) to tune search ranges, and educators feature 24090 in worksheets about factor trees. Its binary footprint of length 15 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 24090 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 24090
Is 24090 a prime number?
24090 is composite with 32 total factors and the prime factorization 2 × 3 × 5 × 11 × 73.
What is the prime factorization of 24090?
It breaks down as 2 × 3 × 5 × 11 × 73, multiplying the primes 2 × 3 × 5 × 11 × 73.
How is 24090 represented in binary and hexadecimal?
24090 converts to 101111000011010 in binary and 5E1A in hexadecimal, which are helpful for computer science applications.
Is 24090 a perfect square, cube, or triangular number?
24090 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 24090?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.