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13728295 = 573710601
BaseRepresentation
bin110100010111…
…101000100111
3221211110200101
4310113220213
512003301140
61210124531
7224455120
oct64275047
927743611
1013728295
1178272a9
124720747
132ac8869
141b75047
15131299a
hexd17a27

13728295 has 16 divisors (see below), whose sum is σ = 19338048. Its totient is φ = 9158400.

The previous prime is 13728289. The next prime is 13728301. The reversal of 13728295 is 59282731.

It is an interprime number because it is at equal distance from previous prime (13728289) and next prime (13728301).

It is not a de Polignac number, because 13728295 - 27 = 13728167 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 4006 + ... + 6595.

It is an arithmetic number, because the mean of its divisors is an integer number (1208628).

Almost surely, 213728295 is an apocalyptic number.

13728295 is a deficient number, since it is larger than the sum of its proper divisors (5609753).

13728295 is a wasteful number, since it uses less digits than its factorization.

13728295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10650.

The product of its digits is 30240, while the sum is 37.

The square root of 13728295 is about 3705.1713860495. The cubic root of 13728295 is about 239.4448685649. Note that the first 3 decimals are identical.

The spelling of 13728295 in words is "thirteen million, seven hundred twenty-eight thousand, two hundred ninety-five".

Divisors: 1 5 7 35 37 185 259 1295 10601 53005 74207 371035 392237 1961185 2745659 13728295