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13187088 = 243291577
BaseRepresentation
bin110010010011…
…100000010000
3220210222021200
4302103200100
511333441323
61150351200
7220042215
oct62234020
926728250
1013187088
117497722
1244bb500
132969415
141a73b0c
151257443
hexc93810

13187088 has 30 divisors (see below), whose sum is σ = 36905934. Its totient is φ = 4395648.

The previous prime is 13187081. The next prime is 13187093. The reversal of 13187088 is 88078131.

It can be written as a sum of positive squares in only one way, i.e., 8573184 + 4613904 = 2928^2 + 2148^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13187081) 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, 45645 + ... + 45932.

Almost surely, 213187088 is an apocalyptic number.

13187088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13187088 is an abundant number, since it is smaller than the sum of its proper divisors (23718846).

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

13187088 is a wasteful number, since it uses less digits than its factorization.

13187088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91591 (or 91582 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 13187088 is about 3631.4030346410. The cubic root of 13187088 is about 236.2560660238.

The spelling of 13187088 in words is "thirteen million, one hundred eighty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 91577 183154 274731 366308 549462 732616 824193 1098924 1465232 1648386 2197848 3296772 4395696 6593544 13187088