Search a number
-
+
106673294 = 27213313773
BaseRepresentation
bin1100101101110…
…11010010001110
321102201120020202
412112323102032
5204302021134
614330213502
72433464600
oct626732216
9242646222
10106673294
115523a252
122b884292
131913c0c0
141024b170
159571d7e
hex65bb48e

106673294 has 96 divisors (see below), whose sum is σ = 215421696. Its totient is φ = 39191040.

The previous prime is 106673291. The next prime is 106673341. The reversal of 106673294 is 492376601.

It is a super-2 number, since 2×1066732942 = 22758383305620872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106673291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461242 + ... + 1461314.

It is an arithmetic number, because the mean of its divisors is an integer number (2243976).

Almost surely, 2106673294 is an apocalyptic number.

106673294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106673294 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

106673294 is a wasteful number, since it uses less digits than its factorization.

106673294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 106673294 is about 10328.2764292984. The cubic root of 106673294 is about 474.2622623609.

The spelling of 106673294 in words is "one hundred six million, six hundred seventy-three thousand, two hundred ninety-four".

Divisors: 1 2 7 13 14 26 31 37 49 62 73 74 91 98 146 182 217 259 403 434 481 511 518 637 806 949 962 1022 1147 1274 1519 1813 1898 2263 2294 2701 2821 3038 3367 3577 3626 4526 5402 5642 6643 6734 7154 8029 13286 14911 15841 16058 18907 19747 23569 29419 29822 31682 35113 37814 39494 46501 47138 56203 58838 70226 83731 93002 104377 110887 112406 132349 167462 205933 208754 221774 245791 264698 411866 491582 586117 730639 1088503 1172234 1441531 1461278 1720537 2177006 2883062 3441074 4102819 7619521 8205638 15239042 53336647 106673294