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13368192 = 273311123
BaseRepresentation
bin110010111111…
…101110000000
3221011011201020
4302333232000
511410240232
61154305440
7221425215
oct62775600
927134636
1013368192
1176007a2
124588280
132a00996
141abdb0c
151290e2c
hexcbfb80

13368192 has 64 divisors (see below), whose sum is σ = 36687360. Its totient is φ = 4308480.

The previous prime is 13368169. The next prime is 13368193. The reversal of 13368192 is 29186331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13368193) 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, 11343 + ... + 12465.

It is an arithmetic number, because the mean of its divisors is an integer number (573240).

Almost surely, 213368192 is an apocalyptic number.

13368192 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 13368192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343680).

13368192 is an abundant number, since it is smaller than the sum of its proper divisors (23319168).

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

13368192 is a wasteful number, since it uses less digits than its factorization.

13368192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1159 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 13368192 is about 3656.2538205108. The cubic root of 13368192 is about 237.3326880707.

The spelling of 13368192 in words is "thirteen million, three hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1123 1488 1984 2246 2976 3369 3968 4492 5952 6738 8984 11904 13476 17968 26952 34813 35936 53904 69626 71872 104439 107808 139252 143744 208878 215616 278504 417756 431232 557008 835512 1114016 1671024 2228032 3342048 4456064 6684096 13368192