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105426728 = 23114392729
BaseRepresentation
bin1100100100010…
…10111100101000
321100101020021122
412102022330220
5203442123403
614243354412
72420053361
oct622127450
9240336248
10105426728
1154568730
122b382a08
1318ac38a4
1410004b68
1593c7838
hex648af28

105426728 has 32 divisors (see below), whose sum is σ = 216216000. Its totient is φ = 47794560.

The previous prime is 105426721. The next prime is 105426731. The reversal of 105426728 is 827624501.

It is a super-2 number, since 2×1054267282 = 22229589953571968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105426721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37268 + ... + 39996.

It is an arithmetic number, because the mean of its divisors is an integer number (6756750).

Almost surely, 2105426728 is an apocalyptic number.

It is an amenable number.

105426728 is an abundant number, since it is smaller than the sum of its proper divisors (110789272).

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

105426728 is a wasteful number, since it uses less digits than its factorization.

105426728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 105426728 is about 10267.7518474104. The cubic root of 105426728 is about 472.4076364537.

The spelling of 105426728 in words is "one hundred five million, four hundred twenty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 439 878 1756 2729 3512 4829 5458 9658 10916 19316 21832 30019 38632 60038 120076 240152 1198031 2396062 4792124 9584248 13178341 26356682 52713364 105426728