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13727328 = 253142993
BaseRepresentation
bin110100010111…
…011001100000
3221211102100120
4310113121200
512003233303
61210120240
7224452236
oct64273140
927742316
1013727328
1178265aa
124720080
132ac82a4
141b74956
151312553
hexd17660

13727328 has 24 divisors (see below), whose sum is σ = 36034488. Its totient is φ = 4575744.

The previous prime is 13727323. The next prime is 13727341. The reversal of 13727328 is 82372731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13727321) 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 3 ways as a sum of consecutive naturals, for example, 71401 + ... + 71592.

It is an arithmetic number, because the mean of its divisors is an integer number (1501437).

Almost surely, 213727328 is an apocalyptic number.

It is an amenable number.

13727328 is an abundant number, since it is smaller than the sum of its proper divisors (22307160).

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

13727328 is a wasteful number, since it uses less digits than its factorization.

13727328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143006 (or 142998 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 13727328 is about 3705.0408904626. The cubic root of 13727328 is about 239.4392463901.

The spelling of 13727328 in words is "thirteen million, seven hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 142993 285986 428979 571972 857958 1143944 1715916 2287888 3431832 4575776 6863664 13727328