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12163984 = 247671621
BaseRepresentation
bin101110011001…
…101110010000
3211212222211221
4232121232100
511103221414
61112414424
7205251340
oct56315620
924788757
1012163984
116958a88
1240a7414
13269b831
141888d20
151104224
hexb99b90

12163984 has 40 divisors (see below), whose sum is σ = 27353408. Its totient is φ = 5132160.

The previous prime is 12163979. The next prime is 12163999. The reversal of 12163984 is 48936121.

12163984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 6694 + ... + 8314.

Almost surely, 212163984 is an apocalyptic number.

12163984 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 12163984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676704).

12163984 is an abundant number, since it is smaller than the sum of its proper divisors (15189424).

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

12163984 is a wasteful number, since it uses less digits than its factorization.

12163984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 12163984 is about 3487.6903532280. The cubic root of 12163984 is about 229.9809940187.

The spelling of 12163984 in words is "twelve million, one hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1621 1876 3242 3752 6484 7504 11347 12968 22694 25936 45388 90776 108607 181552 217214 434428 760249 868856 1520498 1737712 3040996 6081992 12163984