Search a number
-
+
107366166 = 23228121227
BaseRepresentation
bin1100110011001…
…00011100010110
321111000202200200
412121210130112
5204441204131
614353121330
72442411615
oct631443426
9244022620
10107366166
1155672876
122bb59246
131932259b
141038b87c
15965c2e6
hex6664716

107366166 has 24 divisors (see below), whose sum is σ = 233465544. Its totient is φ = 35659680.

The previous prime is 107366153. The next prime is 107366179. The reversal of 107366166 is 661663701.

107366166 is a `hidden beast` number, since 1 + 0 + 7 + 36 + 616 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (107366153) and next prime (107366179).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 107366166.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5556 + ... + 15671.

It is an arithmetic number, because the mean of its divisors is an integer number (9727731).

Almost surely, 2107366166 is an apocalyptic number.

107366166 is an abundant number, since it is smaller than the sum of its proper divisors (126099378).

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

107366166 is a wasteful number, since it uses less digits than its factorization.

107366166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21516 (or 21513 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 107366166 is about 10361.7646180561. The cubic root of 107366166 is about 475.2868678982.

The spelling of 107366166 in words is "one hundred seven million, three hundred sixty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 281 562 843 1686 2529 5058 21227 42454 63681 127362 191043 382086 5964787 11929574 17894361 35788722 53683083 107366166