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106642146 = 23135923173
BaseRepresentation
bin1100101101100…
…11101011100010
321102122222112010
412112303223202
5204300022041
614325413350
72433305022
oct626635342
9242588463
10106642146
1155218906
122b86a256
131912ab80
141023da82
159567a16
hex65b3ae2

106642146 has 32 divisors (see below), whose sum is σ = 233593920. Its totient is φ = 32255424.

The previous prime is 106642141. The next prime is 106642147. The reversal of 106642146 is 641246601.

It is a super-2 number, since 2×1066421462 = 22745094606970632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106642141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6985 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (7299810).

Almost surely, 2106642146 is an apocalyptic number.

106642146 is an abundant number, since it is smaller than the sum of its proper divisors (126951774).

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

106642146 is a wasteful number, since it uses less digits than its factorization.

106642146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23250.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 106642146 is about 10326.7684199850. The cubic root of 106642146 is about 474.2160972324.

Adding to 106642146 its reverse (641246601), we get a palindrome (747888747).

The spelling of 106642146 in words is "one hundred six million, six hundred forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 59 78 118 177 354 767 1534 2301 4602 23173 46346 69519 139038 301249 602498 903747 1367207 1807494 2734414 4101621 8203242 17773691 35547382 53321073 106642146