15481620

15481620 is a positive integer in base 10. It is even and ends with a zero, so it is divisible by 2, 4, 5, 10, and related factors, making it a highly composite-looking candidate among large integers.

The prime factorization of 15481620 is 2^2 × 3^2 × 5 × 7 × 12,287, where 12,287 is a prime number. This factorization shows the number has 72 divisors, calculated from (2+1) × (2+1) × (1+1) × (1+1) × (1+1). The squared primes (2^2 and 3^2) indicate the number is not square-free.

Further divisibility details follow from the factorization. The number is divisible by 180 (2^2 × 3^2 × 5) with a quotient of 86,009, which itself factors as 7 × 12,287.

In terms of divisor sums, the sum of all divisors of 15481620 is 53,673,984, and the sum of its proper divisors is 38,192,364. The latter being larger than the number itself means 15481620 is an abundant number.

Other arithmetic notes include a digit-sum of 27 and a digital root of 9, reaffirming divisibility by 9. The number’s presence in various bases or specialized contexts is limited; it is primarily notable for its explicit prime factorization, the sizeable prime factor 12,287, and its abundant-divisor status.