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13187712 = 27361563
BaseRepresentation
bin110010010011…
…101010000000
3220211000010210
4302103222000
511334001322
61150354120
7220044066
oct62235200
926730123
1013187712
11749813a
1244bb940
1329697a5
141a74036
15125770c
hexc93a80

13187712 has 64 divisors (see below), whose sum is σ = 35667360. Its totient is φ = 4316160.

The previous prime is 13187701. The next prime is 13187737. The reversal of 13187712 is 21778131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 13187712.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23143 + ... + 23705.

Almost surely, 213187712 is an apocalyptic number.

13187712 is a gapful number since it is divisible by the number (12) 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 13187712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833680).

13187712 is an abundant number, since it is smaller than the sum of its proper divisors (22479648).

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

13187712 is an equidigital number, since it uses as much as digits as its factorization.

13187712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The square root of 13187712 is about 3631.4889508299. The cubic root of 13187712 is about 236.2597924330.

The spelling of 13187712 in words is "thirteen million, one hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 563 732 976 1126 1464 1689 1952 2252 2928 3378 3904 4504 5856 6756 7808 9008 11712 13512 18016 23424 27024 34343 36032 54048 68686 72064 103029 108096 137372 206058 216192 274744 412116 549488 824232 1098976 1648464 2197952 3296928 4395904 6593856 13187712