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106646928 = 24312911721
BaseRepresentation
bin1100101101101…
…00110110010000
321102200020002020
412112310312100
5204300200203
614325451440
72433324663
oct626646620
9242606066
10106646928
1155221463
122b870b80
13191300bb
14102416da
159569153
hex65b4d90

106646928 has 40 divisors (see below), whose sum is σ = 275878176. Its totient is φ = 35500800.

The previous prime is 106646909. The next prime is 106646959. The reversal of 106646928 is 829646601.

It is a Cunningham number, because it is equal to 103272-1.

It is a super-2 number, since 2×1066469282 = 22747134503674368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106646928.

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 7 ways as a sum of consecutive naturals, for example, 61108 + ... + 62828.

Almost surely, 2106646928 is an apocalyptic number.

It is an amenable number.

106646928 is an abundant number, since it is smaller than the sum of its proper divisors (169231248).

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

106646928 is a wasteful number, since it uses less digits than its factorization.

106646928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 106646928 is about 10326.9999515832. Note that the first 4 decimals coincide. The cubic root of 106646928 is about 474.2231853227.

The spelling of 106646928 in words is "one hundred six million, six hundred forty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1291 1721 2582 3442 3873 5163 5164 6884 7746 10326 10328 13768 15492 20652 20656 27536 30984 41304 61968 82608 2221811 4443622 6665433 8887244 13330866 17774488 26661732 35548976 53323464 106646928