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66105930 = 23511218211
BaseRepresentation
bin1111110000101…
…1001001001010
311121101112021210
43330023021022
5113410342210
610320513550
71431614442
oct374131112
9147345253
1066105930
1134351400
121a17b8b6
1310907247
148acb122
155c0be20
hex3f0b24a

66105930 has 48 divisors (see below), whose sum is σ = 174398112. Its totient is φ = 16024800.

The previous prime is 66105917. The next prime is 66105947. The reversal of 66105930 is 3950166.

It is a happy number.

66105930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 5476 + ... + 12735.

It is an arithmetic number, because the mean of its divisors is an integer number (3633294).

Almost surely, 266105930 is an apocalyptic number.

66105930 is an abundant number, since it is smaller than the sum of its proper divisors (108292182).

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

66105930 is a wasteful number, since it uses less digits than its factorization.

66105930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18243 (or 18232 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 66105930 is about 8130.5553315871. Note that the first 3 decimals coincide. The cubic root of 66105930 is about 404.3400928360.

The spelling of 66105930 in words is "sixty-six million, one hundred five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 18211 36422 54633 91055 109266 182110 200321 273165 400642 546330 600963 1001605 1201926 2003210 2203531 3004815 4407062 6009630 6610593 11017655 13221186 22035310 33052965 66105930