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13050135 = 3257172437
BaseRepresentation
bin110001110010…
…000100010111
3220120000102100
4301302010113
511320101020
61143413143
7215632020
oct61620427
926500370
1013050135
11740383a
1244541b3
13291bc97
141a39c47
15122ba90
hexc72117

13050135 has 48 divisors (see below), whose sum is σ = 27383616. Its totient is φ = 5612544.

The previous prime is 13050133. The next prime is 13050179. The reversal of 13050135 is 53105031.

It is a happy number.

13050135 is a `hidden beast` number, since 130 + 501 + 35 = 666.

It is not a de Polignac number, because 13050135 - 21 = 13050133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13050133) 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 47 ways as a sum of consecutive naturals, for example, 4137 + ... + 6573.

It is an arithmetic number, because the mean of its divisors is an integer number (570492).

Almost surely, 213050135 is an apocalyptic number.

13050135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13050135 is an abundant number, since it is smaller than the sum of its proper divisors (14333481).

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

13050135 is a wasteful number, since it uses less digits than its factorization.

13050135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13050135 is about 3612.4970588223. The cubic root of 13050135 is about 235.4353481229.

Adding to 13050135 its reverse (53105031), we get a palindrome (66155166).

The spelling of 13050135 in words is "thirteen million, fifty thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 2437 5355 7311 12185 17059 21933 36555 41429 51177 85295 109665 124287 153531 207145 255885 290003 372861 621435 767655 870009 1450015 1864305 2610027 4350045 13050135