Search a number
-
+
106662474 = 233103127151
BaseRepresentation
bin1100101101110…
…00101001001010
321102201000102000
412112320221022
5204301144344
614330051430
72433421212
oct626705112
9242630360
10106662474
1155232106
122b879b76
13191371b9
1410247242
15956da69
hex65b8a4a

106662474 has 64 divisors (see below), whose sum is σ = 242810880. Its totient is φ = 34700400.

The previous prime is 106662469. The next prime is 106662481. The reversal of 106662474 is 474266601.

It is a super-2 number, since 2×1066624742 = 22753766719601352, which contains 22 as substring.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 706299 + ... + 706449.

It is an arithmetic number, because the mean of its divisors is an integer number (3793920).

Almost surely, 2106662474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106662474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121405440).

106662474 is an abundant number, since it is smaller than the sum of its proper divisors (136148406).

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

106662474 is a wasteful number, since it uses less digits than its factorization.

106662474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 106662474 is about 10327.7526112896. The cubic root of 106662474 is about 474.2462268223.

The spelling of 106662474 in words is "one hundred six million, six hundred sixty-two thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 103 127 151 206 254 302 309 381 453 618 762 906 927 1143 1359 1854 2286 2718 2781 3429 4077 5562 6858 8154 13081 15553 19177 26162 31106 38354 39243 46659 57531 78486 93318 115062 117729 139977 172593 235458 279954 345186 353187 419931 517779 706374 839862 1035558 1975231 3950462 5925693 11851386 17777079 35554158 53331237 106662474