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135612306 = 234837113
BaseRepresentation
bin10000001010101…
…00011110010010
3100110011211010000
420011110132102
5234204043211
621242350430
73234454104
oct1005243622
9313154100
10135612306
116a605595
12394bb416
132213218b
1414021574
15bd8b656
hex8154792

135612306 has 20 divisors (see below), whose sum is σ = 303872382. Its totient is φ = 45204048.

The previous prime is 135612299. The next prime is 135612307. The reversal of 135612306 is 603216531.

135612306 is a `hidden beast` number, since 1 + 356 + 1 + 2 + 306 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106936281 + 28676025 = 10341^2 + 5355^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 135612306.

It is not an unprimeable number, because it can be changed into a prime (135612307) 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 9 ways as a sum of consecutive naturals, for example, 418395 + ... + 418718.

Almost surely, 2135612306 is an apocalyptic number.

135612306 is an abundant number, since it is smaller than the sum of its proper divisors (168260076).

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

135612306 is an equidigital number, since it uses as much as digits as its factorization.

135612306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837127 (or 837118 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 135612306 is about 11645.2696834380. The cubic root of 135612306 is about 513.7671910705.

Adding to 135612306 its reverse (603216531), we get a palindrome (738828837).

The spelling of 135612306 in words is "one hundred thirty-five million, six hundred twelve thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 837113 1674226 2511339 5022678 7534017 15068034 22602051 45204102 67806153 135612306