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135630045 = 345334889
BaseRepresentation
bin10000001010110…
…00110011011101
3100110012201110000
420011120303131
5234210130140
621243004513
73234556605
oct1005306335
9313181400
10135630045
116a617951
1239509739
132213a285
1414027c05
15bd91a30
hex8158cdd

135630045 has 20 divisors (see below), whose sum is σ = 243130140. Its totient is φ = 72335808.

The previous prime is 135630017. The next prime is 135630073. The reversal of 135630045 is 540036531.

135630045 is a `hidden beast` number, since 1 + 356 + 300 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (135630017) and next prime (135630073).

It can be written as a sum of positive squares in 2 ways, for example, as 48525156 + 87104889 = 6966^2 + 9333^2 .

It is not a de Polignac number, because 135630045 - 211 = 135627997 is a prime.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 167040 + ... + 167849.

It is an arithmetic number, because the mean of its divisors is an integer number (12156507).

Almost surely, 2135630045 is an apocalyptic number.

135630045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135630045 is a deficient number, since it is larger than the sum of its proper divisors (107500095).

135630045 is an equidigital number, since it uses as much as digits as its factorization.

135630045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334906 (or 334897 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 135630045 is about 11646.0312982578. The cubic root of 135630045 is about 513.7895914930.

Adding to 135630045 its reverse (540036531), we get a palindrome (675666576).

The spelling of 135630045 in words is "one hundred thirty-five million, six hundred thirty thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 334889 1004667 1674445 3014001 5023335 9042003 15070005 27126009 45210015 135630045