8420

8420 is a natural number following 8419 and preceding 8421. It is an even composite integer with prime factorization 2^2 × 5 × 421. As a result, 8420 has 12 positive divisors and is divisible by 20 (20 × 421).

Arithmetic functions and classification: the sum of all positive divisors σ(8420) equals 17,724, so the sum of proper divisors (the aliquot sum) is 9,304, making 8420 an abundant number because this sum exceeds the number itself. Its number of divisors (τ) is 12 and Euler’s totient function yields φ(8420) = 3,360. 8420 is neither a perfect square nor a perfect cube, and it is not a Harshad number in base ten (its digit sum is 14).

Representations in common bases include binary 10000011100100₂, octal 20344₈, and hexadecimal 20E4₁₆. The number appears primarily in numeric and enumerative contexts rather than having established cultural or scientific significance as a named constant.