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35164140 = 22351153279
BaseRepresentation
bin1000011000100…
…0111111101100
32110011112010120
42012020333230
533000223030
63253404540
7604614234
oct206107754
973145116
1035164140
1118938380
12b939750
1373926ab
144954cc4
153149010
hex2188fec

35164140 has 48 divisors (see below), whose sum is σ = 107412480. Its totient is φ = 8524480.

The previous prime is 35164123. The next prime is 35164189. The reversal of 35164140 is 4146153.

35164140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 35164140.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25980 + ... + 27299.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 235164140 is an apocalyptic number.

35164140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35164140 is an abundant number, since it is smaller than the sum of its proper divisors (72248340).

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

35164140 is a wasteful number, since it uses less digits than its factorization.

35164140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53302 (or 53300 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 35164140 is about 5929.9359187094. The cubic root of 35164140 is about 327.6171792870.

The spelling of 35164140 in words is "thirty-five million, one hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 53279 106558 159837 213116 266395 319674 532790 586069 639348 799185 1065580 1172138 1598370 1758207 2344276 2930345 3196740 3516414 5860690 7032828 8791035 11721380 17582070 35164140