1057434020 has 24 divisors (see below), whose sum is σ = 2225489784. Its totient is φ = 422044416.

The previous prime is 1057434011. The next prime is 1057434023. The reversal of 1057434020 is 204347501.

1057434020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21752896 + 1035681124 = 4664^2 + 32182^2 .

It is a super-2 number, since 2×1057434020² = 2236333413306720800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057434023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48707 + ... + 66986.

It is an arithmetic number, because the mean of its divisors is an integer number (92728741).

Almost surely, 2^1057434020 is an apocalyptic number.

1057434020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057434020 is an abundant number, since it is smaller than the sum of its proper divisors (1168055764).

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

1057434020 is a wasteful number, since it uses less digits than its factorization.

1057434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116159 (or 116157 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 1057434020 is about 32518.2105903754. The cubic root of 1057434020 is about 1018.7894198806.

The spelling of 1057434020 in words is "one billion, fifty-seven million, four hundred thirty-four thousand, twenty".