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11306106 = 2327611471
BaseRepresentation
bin101011001000…
…010001111010
3210021102001200
4223020101322
510343243411
61042155030
7165046260
oct53102172
923242050
1011306106
116422499
123952a76
13245b206
141704430
15ed4e56
hexac847a

11306106 has 48 divisors (see below), whose sum is σ = 28474368. Its totient is φ = 3175200.

The previous prime is 11306101. The next prime is 11306123. The reversal of 11306106 is 60160311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11306101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6951 + ... + 8421.

It is an arithmetic number, because the mean of its divisors is an integer number (593216).

Almost surely, 211306106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11306106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14237184).

11306106 is an abundant number, since it is smaller than the sum of its proper divisors (17168262).

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

11306106 is a wasteful number, since it uses less digits than its factorization.

11306106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11306106 is about 3362.4553528634. The cubic root of 11306106 is about 224.4421141658.

Adding to 11306106 its reverse (60160311), we get a palindrome (71466417).

The spelling of 11306106 in words is "eleven million, three hundred six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 1471 2562 2942 3843 4413 7686 8826 10297 13239 20594 26478 30891 61782 89731 92673 179462 185346 269193 538386 628117 807579 1256234 1615158 1884351 3768702 5653053 11306106