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57108240 = 2434571259
BaseRepresentation
bin1101100111011…
…0011100010000
310222110101210000
43121312130100
5104104430430
65400010000
71262261220
oct331663420
9128411700
1057108240
112a2662a2
1217160900
13baa6977
147828080
155030e60
hex3676710

57108240 has 200 divisors, whose sum is σ = 226860480. Its totient is φ = 13042944.

The previous prime is 57108223. The next prime is 57108269. The reversal of 57108240 is 4280175.

57108240 is nontrivially palindromic in base 11.

57108240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×571082402 = 6522702151795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44731 + ... + 45989.

Almost surely, 257108240 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 57108240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

57108240 is an abundant number, since it is smaller than the sum of its proper divisors (169752240).

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

57108240 is a wasteful number, since it uses less digits than its factorization.

57108240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57108240 is about 7556.9994045256. Note that the first 3 decimals coincide. The cubic root of 57108240 is about 385.0935624633.

The spelling of 57108240 in words is "fifty-seven million, one hundred eight thousand, two hundred forty".