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1328135445 = 32573136619
BaseRepresentation
bin100111100101001…
…1011110100010101
310102120010021022200
41033022123310111
510210000313240
6335442315113
744624652000
oct11712336425
93376107280
101328135445
116217748aa
12310958a99
13182209380
14c8566537
157b8eb930
hex4f29bd15

1328135445 has 96 divisors (see below), whose sum is σ = 2891616000. Its totient is φ = 560359296.

The previous prime is 1328135441. The next prime is 1328135477. The reversal of 1328135445 is 5445318231.

1328135445 is a `hidden beast` number, since 1 + 32 + 81 + 3 + 544 + 5 = 666.

It is not a de Polignac number, because 1328135445 - 22 = 1328135441 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328135441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197346 + ... + 203964.

It is an arithmetic number, because the mean of its divisors is an integer number (30121000).

Almost surely, 21328135445 is an apocalyptic number.

1328135445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1328135445 is an abundant number, since it is smaller than the sum of its proper divisors (1563480555).

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

1328135445 is a wasteful number, since it uses less digits than its factorization.

1328135445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6647 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1328135445 is about 36443.5926467191. The cubic root of 1328135445 is about 1099.2102995935.

The spelling of 1328135445 in words is "one billion, three hundred twenty-eight million, one hundred thirty-five thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 343 441 455 585 637 735 819 1029 1365 1715 1911 2205 3087 3185 4095 4459 5145 5733 6619 9555 13377 15435 19857 22295 28665 33095 40131 46333 59571 66885 86047 99285 138999 200655 231665 258141 297855 324331 416997 430235 602329 694995 774423 972993 1290705 1621655 1806987 2084985 2270317 2918979 3011645 3872115 4216303 4864965 5420961 6810951 9034935 11351585 12648909 14594895 20432853 21081515 27104805 29514121 34054755 37946727 63244545 88542363 102164265 147570605 189733635 265627089 442711815 1328135445