57733140 has 48 divisors (see below), whose sum is σ = 163614528. Its totient is φ = 15208704.

The previous prime is 57733127. The next prime is 57733157. The reversal of 57733140 is 4133775.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57733098 and 57733107.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 817 + ... + 10776.

It is an arithmetic number, because the mean of its divisors is an integer number (3408636).

Almost surely, 2^57733140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57733140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81807264).

57733140 is an abundant number, since it is smaller than the sum of its proper divisors (105881388).

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

57733140 is a wasteful number, since it uses less digits than its factorization.

57733140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11688 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 57733140 is about 7598.2326892508. The cubic root of 57733140 is about 386.4930833360.

The spelling of 57733140 in words is "fifty-seven million, seven hundred thirty-three thousand, one hundred forty".