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113642166 = 231173103229
BaseRepresentation
bin1101100011000…
…00101010110110
321220211121202010
412301200222312
5213043022131
615135425050
72546641161
oct661405266
9256747663
10113642166
115916a050
1232085186
131a70c0b1
1411142ad8
159e9bb46
hex6c60ab6

113642166 has 64 divisors (see below), whose sum is σ = 254891520. Its totient is φ = 33488640.

The previous prime is 113642131. The next prime is 113642167. The reversal of 113642166 is 661246311.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113642167) 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 31 ways as a sum of consecutive naturals, for example, 496140 + ... + 496368.

It is an arithmetic number, because the mean of its divisors is an integer number (3982680).

Almost surely, 2113642166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113642166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127445760).

113642166 is an abundant number, since it is smaller than the sum of its proper divisors (141249354).

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

113642166 is a wasteful number, since it uses less digits than its factorization.

113642166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

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

The square root of 113642166 is about 10660.3079692849. The cubic root of 113642166 is about 484.3728969510.

Adding to 113642166 its reverse (661246311), we get a palindrome (774888477).

It can be divided in two parts, 11364 and 2166, that added together give a triangular number (13530 = T164).

The spelling of 113642166 in words is "one hundred thirteen million, six hundred forty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 73 103 146 206 219 229 309 438 458 618 687 803 1133 1374 1606 2266 2409 2519 3399 4818 5038 6798 7519 7557 15038 15114 16717 22557 23587 33434 45114 47174 50151 70761 82709 100302 141522 165418 183887 248127 259457 367774 496254 518914 551661 778371 1103322 1556742 1721851 3443702 5165553 10331106 18940361 37880722 56821083 113642166