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57640240 = 2457102929
BaseRepresentation
bin1101101111100…
…0010100110000
311000110102112201
43123320110300
5104223441430
65415232544
71266635230
oct333702460
9130412481
1057640240
112a599a69
1217378754
13bc31b68
147925cc0
1550d88ca
hex36f8530

57640240 has 40 divisors (see below), whose sum is σ = 153159840. Its totient is φ = 19762176.

The previous prime is 57640237. The next prime is 57640241. The reversal of 57640240 is 4204675.

57640240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 57640199 and 57640208.

It is not an unprimeable number, because it can be changed into a prime (57640241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50905 + ... + 52024.

It is an arithmetic number, because the mean of its divisors is an integer number (3828996).

Almost surely, 257640240 is an apocalyptic number.

It is an amenable number.

57640240 is an abundant number, since it is smaller than the sum of its proper divisors (95519600).

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

57640240 is a wasteful number, since it uses less digits than its factorization.

57640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102949 (or 102943 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 57640240 is about 7592.1169643256. The cubic root of 57640240 is about 386.2856664558.

The spelling of 57640240 in words is "fifty-seven million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 102929 205858 411716 514645 720503 823432 1029290 1441006 1646864 2058580 2882012 3602515 4117160 5764024 7205030 8234320 11528048 14410060 28820120 57640240