1460
1460 is a even composite number that follows 1459 and precedes 1461. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460. Its prime factorization can be written as 2^2 × 5 × 73. 1460 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1460 is represented as 10110110100 in binary and 5B4 in hexadecimal. Historically, it is written as MCDLX in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 73) reveals 4 prime building blocks.
Divisible by 2
1460 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 60 form a multiple of 4.
Divisible by 5
1460 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
1460 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 1460 within several notable number theory sequences:
Timeline
Deep dive
How 1460 breaks down
1460 carries 12 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 1648, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110110100 supports bitwise reasoning, hexadecimal 5B4 aligns with computing notation, and the Roman numeral MCDLX keeps the encyclopedic tradition alive. These attributes make 1460 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1460 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1455–1465) to tune search ranges, and educators feature 1460 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 1460 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 1460
Is 1460 a prime number?
1460 is composite with 12 total factors and the prime factorization 2^2 × 5 × 73.
What is the prime factorization of 1460?
It breaks down as 2^2 × 5 × 73, multiplying the primes 2 × 2 × 5 × 73.
How is 1460 represented in binary and hexadecimal?
1460 converts to 10110110100 in binary and 5B4 in hexadecimal, which are helpful for computer science applications.
Is 1460 a perfect square, cube, or triangular number?
1460 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1460?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.