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54106866 = 2351129349
BaseRepresentation
bin1100111001100…
…1101011110010
310202210220200000
43032121223302
5102322404431
65211410430
71224620652
oct316315362
9122726600
1054106866
11285a6320
1216153a16
13b2957c8
147286362
154b3b9e6
hex3399af2

54106866 has 96 divisors (see below), whose sum is σ = 137592000. Its totient is φ = 15785280.

The previous prime is 54106861. The next prime is 54106901. The reversal of 54106866 is 66860145.

It is a self number, because there is not a number n which added to its sum of digits gives 54106866.

It is not an unprimeable number, because it can be changed into a prime (54106861) 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, 154860 + ... + 155208.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250).

Almost surely, 254106866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54106866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

54106866 is an abundant number, since it is smaller than the sum of its proper divisors (83485134).

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

54106866 is a wasteful number, since it uses less digits than its factorization.

54106866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54106866 is about 7355.7369447255. The cubic root of 54106866 is about 378.2254890446.

The spelling of 54106866 in words is "fifty-four million, one hundred six thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 162 174 198 243 261 297 319 349 486 522 594 638 698 783 891 957 1047 1566 1782 1914 2094 2349 2673 2871 3141 3839 4698 5346 5742 6282 7047 7678 8613 9423 10121 11517 14094 17226 18846 20242 23034 25839 28269 30363 34551 51678 56538 60726 69102 77517 84807 91089 103653 111331 155034 169614 182178 207306 222662 273267 310959 333993 546534 621918 667986 819801 932877 1001979 1639602 1865754 2003958 2459403 3005937 4918806 6011874 9017811 18035622 27053433 54106866