16301120 has 84 divisors (see below), whose sum is σ = 42768012. Its totient is φ = 5913600.

The previous prime is 16301111. The next prime is 16301177. The reversal of 16301120 is 2110361.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 14318656 = 1408^2 + 3784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16301095 and 16301104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38510 + ... + 38930.

It is an arithmetic number, because the mean of its divisors is an integer number (509143).

Almost surely, 2^16301120 is an apocalyptic number.

16301120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384006).

16301120 is an abundant number, since it is smaller than the sum of its proper divisors (26466892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16301120 is a wasteful number, since it uses less digits than its factorization.

16301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 16301120 is about 4037.4645509280. The cubic root of 16301120 is about 253.5551765592. Note that the first 3 decimals are identical.

Adding to 16301120 its reverse (2110361), we get a palindrome (18411481).

The spelling of 16301120 in words is "sixteen million, three hundred one thousand, one hundred twenty".