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66355660 = 22571493181
BaseRepresentation
bin1111110100100…
…0000111001100
311121212012212001
43331020013030
5113441340120
610330122044
71434004510
oct375100714
9147765761
1066355660
1134501a98
121a280324
1310993b07
148b54140
155c5ae0a
hex3f481cc

66355660 has 48 divisors (see below), whose sum is σ = 160372800. Its totient is φ = 22590720.

The previous prime is 66355643. The next prime is 66355693. The reversal of 66355660 is 6655366.

It is a happy number.

66355660 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 2×663556602 = 8806147228071200, which contains 22 as substring.

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, 19270 + ... + 22450.

It is an arithmetic number, because the mean of its divisors is an integer number (3341100).

Almost surely, 266355660 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 66355660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80186400).

66355660 is an abundant number, since it is smaller than the sum of its proper divisors (94017140).

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

66355660 is a wasteful number, since it uses less digits than its factorization.

66355660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The square root of 66355660 is about 8145.8983543867. The cubic root of 66355660 is about 404.8486148631.

The spelling of 66355660 in words is "sixty-six million, three hundred fifty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 149 298 596 745 1043 1490 2086 2980 3181 4172 5215 6362 10430 12724 15905 20860 22267 31810 44534 63620 89068 111335 222670 445340 473969 947938 1895876 2369845 3317783 4739690 6635566 9479380 13271132 16588915 33177830 66355660