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66830112 = 2532232049
BaseRepresentation
bin1111111011101…
…1111100100000
311122202022200100
43332323330200
5114102030422
610344222400
71441021656
oct376737440
9148668610
1066830112
11347a64a8
121a46aa00
1310acba5b
148c38dd6
155d017ac
hex3fbbf20

66830112 has 36 divisors (see below), whose sum is σ = 190048950. Its totient is φ = 22276608.

The previous prime is 66830063. The next prime is 66830117. The reversal of 66830112 is 21103866.

It can be written as a sum of positive squares in only one way, i.e., 52359696 + 14470416 = 7236^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (66830117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115737 + ... + 116312.

Almost surely, 266830112 is an apocalyptic number.

It is an amenable number.

66830112 is an abundant number, since it is smaller than the sum of its proper divisors (123218838).

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

66830112 is a wasteful number, since it uses less digits than its factorization.

66830112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232065 (or 232054 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 66830112 is about 8174.9686237930. The cubic root of 66830112 is about 405.8112317803.

Adding to 66830112 its reverse (21103866), we get a palindrome (87933978).

The spelling of 66830112 in words is "sixty-six million, eight hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 232049 464098 696147 928196 1392294 1856392 2088441 2784588 3712784 4176882 5569176 7425568 8353764 11138352 16707528 22276704 33415056 66830112