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13932968 = 237594217
BaseRepresentation
bin110101001001…
…100110101000
3222012212102212
4311021212220
512031323333
61214344252
7226266620
oct65114650
928185385
1013932968
117957055
1247bb088
132b6aa7a
141bc9880
151353448
hexd499a8

13932968 has 32 divisors (see below), whose sum is σ = 30369600. Its totient is φ = 5868672.

The previous prime is 13932967. The next prime is 13932973. The reversal of 13932968 is 86923931.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13932967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1196 + ... + 5412.

It is an arithmetic number, because the mean of its divisors is an integer number (949050).

Almost surely, 213932968 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 13932968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15184800).

13932968 is an abundant number, since it is smaller than the sum of its proper divisors (16436632).

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

13932968 is a wasteful number, since it uses less digits than its factorization.

13932968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4285 counting only the distinct ones).

The product of its digits is 69984, while the sum is 41.

The square root of 13932968 is about 3732.6891110833. The cubic root of 13932968 is about 240.6289521586.

The spelling of 13932968 in words is "thirteen million, nine hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1652 3304 4217 8434 16868 29519 33736 59038 118076 236152 248803 497606 995212 1741621 1990424 3483242 6966484 13932968