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13132782 = 2321356123
BaseRepresentation
bin110010000110…
…001111101110
3220201012210100
4302012033232
511330222112
61145251530
7216424665
oct62061756
926635710
1013132782
11745a943
124493ba6
13294a7a0
141a5bddc
1512462dc
hexc863ee

13132782 has 24 divisors (see below), whose sum is σ = 30643704. Its totient is φ = 4040784.

The previous prime is 13132771. The next prime is 13132783. The reversal of 13132782 is 28723131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132783) 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, 27828 + ... + 28295.

It is an arithmetic number, because the mean of its divisors is an integer number (1276821).

Almost surely, 213132782 is an apocalyptic number.

13132782 is an abundant number, since it is smaller than the sum of its proper divisors (17510922).

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

13132782 is a wasteful number, since it uses less digits than its factorization.

13132782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56144 (or 56141 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13132782 is about 3623.9180454309. The cubic root of 13132782 is about 235.9313096076.

It can be divided in two parts, 1313 and 2782, that added together give a triangular number (4095 = T90).

The spelling of 13132782 in words is "thirteen million, one hundred thirty-two thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 56123 112246 168369 336738 505107 729599 1010214 1459198 2188797 4377594 6566391 13132782