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105728662 = 21331472791
BaseRepresentation
bin1100100110101…
…00101010010110
321100221120110101
412103110222112
5204031304122
614254044314
72422451554
oct623245226
9240846411
10105728662
1154754566
122b4a969a
1318b9b150
1410082bd4
159437027
hex64d4a96

105728662 has 32 divisors (see below), whose sum is σ = 180117504. Its totient is φ = 46202400.

The previous prime is 105728657. The next prime is 105728669. The reversal of 105728662 is 266827501.

It is a happy number.

It is a super-2 number, since 2×1057286622 = 22357099936620488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105728669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36487 + ... + 39277.

It is an arithmetic number, because the mean of its divisors is an integer number (5628672).

Almost surely, 2105728662 is an apocalyptic number.

105728662 is a deficient number, since it is larger than the sum of its proper divisors (74388842).

105728662 is a wasteful number, since it uses less digits than its factorization.

105728662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 105728662 is about 10282.4443591979. Note that the first 3 decimals coincide. The cubic root of 105728662 is about 472.8581862658.

The spelling of 105728662 in words is "one hundred five million, seven hundred twenty-eight thousand, six hundred sixty-two".

Divisors: 1 2 13 26 31 47 62 94 403 611 806 1222 1457 2791 2914 5582 18941 36283 37882 72566 86521 131177 173042 262354 1124773 1705301 2249546 3410602 4066487 8132974 52864331 105728662