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164305140 = 22358332993
BaseRepresentation
bin10011100101100…
…01100011110100
3102110011120021120
421302301203310
5314030231030
624145343540
74033366506
oct1162614364
9373146246
10164305140
118482297a
1247037bb0
132806a19c
1417b6dd76
15e658010
hex9cb18f4

164305140 has 48 divisors (see below), whose sum is σ = 465611328. Its totient is φ = 43285504.

The previous prime is 164305129. The next prime is 164305171. The reversal of 164305140 is 41503461.

164305140 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 164305140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11517 + ... + 21476.

It is an arithmetic number, because the mean of its divisors is an integer number (9700236).

Almost surely, 2164305140 is an apocalyptic number.

164305140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164305140 is an abundant number, since it is smaller than the sum of its proper divisors (301306188).

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

164305140 is a wasteful number, since it uses less digits than its factorization.

164305140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33088 (or 33086 counting only the distinct ones).

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

The square root of 164305140 is about 12818.1566537471. The cubic root of 164305140 is about 547.7096380320.

The spelling of 164305140 in words is "one hundred sixty-four million, three hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 32993 65986 98979 131972 164965 197958 329930 395916 494895 659860 989790 1979580 2738419 5476838 8215257 10953676 13692095 16430514 27384190 32861028 41076285 54768380 82152570 164305140