1830153072 has 60 divisors (see below), whose sum is σ = 5196794120. Its totient is φ = 554590080.

The previous prime is 1830153041. The next prime is 1830153077. The reversal of 1830153072 is 2703510381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830153077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151747 + ... + 163362.

Almost surely, 2^1830153072 is an apocalyptic number.

1830153072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1830153072 is an abundant number, since it is smaller than the sum of its proper divisors (3366641048).

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

1830153072 is a wasteful number, since it uses less digits than its factorization.

1830153072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315142 (or 315125 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1830153072 is about 42780.2883580744. The cubic root of 1830153072 is about 1223.1953038827.

The spelling of 1830153072 in words is "one billion, eight hundred thirty million, one hundred fifty-three thousand, seventy-two".