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13137904 = 241383761
BaseRepresentation
bin110010000111…
…011111110000
3220201110211001
4302013133300
511330403104
61145331344
7216445633
oct62073760
926643731
1013137904
11746377a
124496b54
13294cc10
141a5dc1a
151247aa4
hexc877f0

13137904 has 40 divisors (see below), whose sum is σ = 27779472. Its totient is φ = 5982720.

The previous prime is 13137881. The next prime is 13137907. The reversal of 13137904 is 40973131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137907) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16884 + ... + 17644.

Almost surely, 213137904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13137904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889736).

13137904 is an abundant number, since it is smaller than the sum of its proper divisors (14641568).

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

13137904 is a wasteful number, since it uses less digits than its factorization.

13137904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 13137904 is about 3624.6246702245. The cubic root of 13137904 is about 235.9619779788.

It can be divided in two parts, 13137 and 904, that added together give a palindrome (14041).

The spelling of 13137904 in words is "thirteen million, one hundred thirty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 208 332 664 761 1079 1328 1522 2158 3044 4316 6088 8632 9893 12176 17264 19786 39572 63163 79144 126326 158288 252652 505304 821119 1010608 1642238 3284476 6568952 13137904