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105490746 = 232171033347
BaseRepresentation
bin1100100100110…
…10100100111010
321100111111002200
412102122210322
5204001200441
614245011030
72420441124
oct622324472
9240444080
10105490746
1154601839
122b3b3a76
1318b16a7a
1410020214
1593db7b6
hex649a93a

105490746 has 48 divisors (see below), whose sum is σ = 244430784. Its totient is φ = 32764032.

The previous prime is 105490733. The next prime is 105490747. The reversal of 105490746 is 647094501.

It is a super-2 number, since 2×1054907462 = 22256594983273032, 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 105490746.

It is not an unprimeable number, because it can be changed into a prime (105490747) 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 23 ways as a sum of consecutive naturals, for example, 29845 + ... + 33191.

It is an arithmetic number, because the mean of its divisors is an integer number (5092308).

Almost surely, 2105490746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105490746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122215392).

105490746 is an abundant number, since it is smaller than the sum of its proper divisors (138940038).

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

105490746 is a wasteful number, since it uses less digits than its factorization.

105490746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105490746 is about 10270.8688045364. The cubic root of 105490746 is about 472.5032367293.

The spelling of 105490746 in words is "one hundred five million, four hundred ninety thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 153 206 306 309 618 927 1751 1854 3347 3502 5253 6694 10041 10506 15759 20082 30123 31518 56899 60246 113798 170697 341394 344741 512091 689482 1024182 1034223 2068446 3102669 5860597 6205338 11721194 17581791 35163582 52745373 105490746