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13027536 = 243290469
BaseRepresentation
bin110001101100…
…100011010000
3220111212102100
4301230203100
511313340121
61143120400
7215506104
oct61544320
926455370
1013027536
117398865
124443100
132911902
141a31904
151225026
hexc6c8d0

13027536 has 30 divisors (see below), whose sum is σ = 36459410. Its totient is φ = 4342464.

The previous prime is 13027523. The next prime is 13027579. The reversal of 13027536 is 63572031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11861136 + 1166400 = 3444^2 + 1080^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45091 + ... + 45378.

Almost surely, 213027536 is an apocalyptic number.

13027536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13027536 is an abundant number, since it is smaller than the sum of its proper divisors (23431874).

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

13027536 is a wasteful number, since it uses less digits than its factorization.

13027536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90483 (or 90474 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13027536 is about 3609.3678116812. The cubic root of 13027536 is about 235.2993679809.

Adding to 13027536 its reverse (63572031), we get a palindrome (76599567).

The spelling of 13027536 in words is "thirteen million, twenty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 90469 180938 271407 361876 542814 723752 814221 1085628 1447504 1628442 2171256 3256884 4342512 6513768 13027536