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13187104 = 257173463
BaseRepresentation
bin110010010011…
…100000100000
3220210222022021
4302103200200
511333441404
61150351224
7220042240
oct62234040
926728267
1013187104
117497737
1244bb514
132969428
141a73b20
151257454
hexc93820

13187104 has 48 divisors (see below), whose sum is σ = 31425408. Its totient is φ = 5317632.

The previous prime is 13187099. The next prime is 13187107. The reversal of 13187104 is 40178131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13187107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2077 + ... + 5539.

It is an arithmetic number, because the mean of its divisors is an integer number (654696).

Almost surely, 213187104 is an apocalyptic number.

13187104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13187104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712704).

13187104 is an abundant number, since it is smaller than the sum of its proper divisors (18238304).

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

13187104 is a wasteful number, since it uses less digits than its factorization.

13187104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 13187104 is about 3631.4052376456. The cubic root of 13187104 is about 236.2561615742.

The spelling of 13187104 in words is "thirteen million, one hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3463 3808 6926 13852 24241 27704 48482 55408 58871 96964 110816 117742 193928 235484 387856 412097 470968 775712 824194 941936 1648388 1883872 3296776 6593552 13187104