1420
1420 is a even composite number that follows 1419 and precedes 1421. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420. Its prime factorization can be written as 2^2 × 5 × 71. 1420 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1420 is represented as 10110001100 in binary and 58C in hexadecimal. Historically, it is written as MCDXX in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 71) reveals 4 prime building blocks.
Divisible by 2
1420 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 20 form a multiple of 4.
Divisible by 5
1420 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
1420 ends in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 1420 within several notable number theory sequences:
Timeline
Deep dive
How 1420 breaks down
1420 carries 12 distinct factors and a digit signature of 7 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 1604, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110001100 supports bitwise reasoning, hexadecimal 58C aligns with computing notation, and the Roman numeral MCDXX keeps the encyclopedic tradition alive. These attributes make 1420 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1420 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1415–1425) to tune search ranges, and educators feature 1420 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 1420 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 1420
Is 1420 a prime number?
1420 is composite with 12 total factors and the prime factorization 2^2 × 5 × 71.
What is the prime factorization of 1420?
It breaks down as 2^2 × 5 × 71, multiplying the primes 2 × 2 × 5 × 71.
How is 1420 represented in binary and hexadecimal?
1420 converts to 10110001100 in binary and 58C in hexadecimal, which are helpful for computer science applications.
Is 1420 a perfect square, cube, or triangular number?
1420 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1420?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.