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13727088 = 243295327
BaseRepresentation
bin110100010111…
…010101110000
3221211102000200
4310113111300
512003231323
61210115200
7224451444
oct64272560
927742020
1013727088
117826401
12471bb00
132ac814b
141b74824
151312443
hexd17570

13727088 has 30 divisors (see below), whose sum is σ = 38417184. Its totient is φ = 4575648.

The previous prime is 13727081. The next prime is 13727089. The reversal of 13727088 is 88072731.

13727088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13727081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47520 + ... + 47807.

Almost surely, 213727088 is an apocalyptic number.

13727088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13727088 is an abundant number, since it is smaller than the sum of its proper divisors (24690096).

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

13727088 is a wasteful number, since it uses less digits than its factorization.

13727088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95341 (or 95332 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 13727088 is about 3705.0085020145. The cubic root of 13727088 is about 239.4378509800.

It can be divided in two parts, 137 and 27088, that added together give a square (27225 = 1652).

The spelling of 13727088 in words is "thirteen million, seven hundred twenty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 95327 190654 285981 381308 571962 762616 857943 1143924 1525232 1715886 2287848 3431772 4575696 6863544 13727088