Search a number
-
+
106534026 = 23219378419
BaseRepresentation
bin1100101100110…
…01010010001010
321102110111012200
412112121102022
5204233042101
614323221030
72432344554
oct626312212
9242414180
10106534026
1155154655
122b817776
13190c08b1
14102124d4
159545986
hex659948a

106534026 has 48 divisors (see below), whose sum is σ = 249568800. Its totient is φ = 32729184.

The previous prime is 106534003. The next prime is 106534037. The reversal of 106534026 is 620435601.

106534026 is a `hidden beast` number, since 1 + 0 + 653 + 4 + 0 + 2 + 6 = 666.

It is a super-2 number, since 2×1065340262 = 22698997391537352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8445 + ... + 16863.

It is an arithmetic number, because the mean of its divisors is an integer number (5199350).

Almost surely, 2106534026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106534026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124784400).

106534026 is an abundant number, since it is smaller than the sum of its proper divisors (143034774).

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

106534026 is a wasteful number, since it uses less digits than its factorization.

106534026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8483 (or 8480 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106534026 is about 10321.5321537066. The cubic root of 106534026 is about 474.0557804354.

Adding to 106534026 its reverse (620435601), we get a palindrome (726969627).

The spelling of 106534026 in words is "one hundred six million, five hundred thirty-four thousand, twenty-six".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 4218 6327 8419 12654 16838 25257 50514 75771 151542 159961 311503 319922 479883 623006 934509 959766 1439649 1869018 2803527 2879298 5607054 5918557 11837114 17755671 35511342 53267013 106534026