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66830106 = 23719831009
BaseRepresentation
bin1111111011101…
…1111100011010
311122202022200010
43332323330122
5114102030411
610344222350
71441021650
oct376737432
9148668603
1066830106
11347a64a2
121a46a9b6
1310acba55
148c38dd0
155d017a6
hex3fbbf1a

66830106 has 64 divisors (see below), whose sum is σ = 162892800. Its totient is φ = 17853696.

The previous prime is 66830063. The next prime is 66830117. The reversal of 66830106 is 60103866.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65730 + ... + 66738.

It is an arithmetic number, because the mean of its divisors is an integer number (2545200).

Almost surely, 266830106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66830106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81446400).

66830106 is an abundant number, since it is smaller than the sum of its proper divisors (96062694).

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

66830106 is a wasteful number, since it uses less digits than its factorization.

66830106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66830106 is about 8174.9682568191. The cubic root of 66830106 is about 405.8112196357.

The spelling of 66830106 in words is "sixty-six million, eight hundred thirty thousand, one hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 83 114 133 166 249 266 399 498 581 798 1009 1162 1577 1743 2018 3027 3154 3486 4731 6054 7063 9462 11039 14126 19171 21189 22078 33117 38342 42378 57513 66234 83747 115026 134197 167494 251241 268394 402591 502482 586229 805182 1172458 1591193 1758687 3182386 3517374 4773579 9547158 11138351 22276702 33415053 66830106