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66585830 = 2531347619
BaseRepresentation
bin1111111000000…
…0010011100110
311122021220120212
43332000103212
5114021221310
610335055422
71435653533
oct376002346
9148256525
1066585830
1134649a13
121a371572
1310a447cc
148bb3d8a
155ca4205
hex3f804e6

66585830 has 32 divisors (see below), whose sum is σ = 124277760. Its totient is φ = 25659360.

The previous prime is 66585809. The next prime is 66585833. The reversal of 66585830 is 3858566.

66585830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66585833) 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 15 ways as a sum of consecutive naturals, for example, 107261 + ... + 107879.

It is an arithmetic number, because the mean of its divisors is an integer number (3883680).

Almost surely, 266585830 is an apocalyptic number.

66585830 is a deficient number, since it is larger than the sum of its proper divisors (57691930).

66585830 is a wasteful number, since it uses less digits than its factorization.

66585830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004.

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 66585830 is about 8160.0140931251. The cubic root of 66585830 is about 405.3161784409.

The spelling of 66585830 in words is "sixty-six million, five hundred eighty-five thousand, eight hundred thirty".

Divisors: 1 2 5 10 31 62 155 310 347 619 694 1238 1735 3095 3470 6190 10757 19189 21514 38378 53785 95945 107570 191890 214793 429586 1073965 2147930 6658583 13317166 33292915 66585830