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36126306 = 23210918413
BaseRepresentation
bin1000100111001…
…1111001100010
32111222101222100
42021303321202
533222020211
63330151230
7616032336
oct211637142
974871870
1036126306
1119435257
1210122516
13763b618
144b257c6
153289156
hex2273e62

36126306 has 24 divisors (see below), whose sum is σ = 78996060. Its totient is φ = 11930976.

The previous prime is 36126301. The next prime is 36126329. The reversal of 36126306 is 60362163.

36126306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36108081 + 18225 = 6009^2 + 135^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36126306.

It is not an unprimeable number, because it can be changed into a prime (36126301) 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 11 ways as a sum of consecutive naturals, for example, 7245 + ... + 11168.

Almost surely, 236126306 is an apocalyptic number.

36126306 is an abundant number, since it is smaller than the sum of its proper divisors (42869754).

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

36126306 is a wasteful number, since it uses less digits than its factorization.

36126306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18530 (or 18527 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36126306 is about 6010.5162839809. The cubic root of 36126306 is about 330.5784345449.

Adding to 36126306 its reverse (60362163), we get a palindrome (96488469).

The spelling of 36126306 in words is "thirty-six million, one hundred twenty-six thousand, three hundred six".

Divisors: 1 2 3 6 9 18 109 218 327 654 981 1962 18413 36826 55239 110478 165717 331434 2007017 4014034 6021051 12042102 18063153 36126306