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12168992 = 2511181191
BaseRepresentation
bin101110011010…
…111100100000
3211220020201102
4232122330200
511103401432
61112453532
7205302053
oct56327440
924806642
1012168992
116961820
1240aa2a8
1326a0bb4
14188aa9a
151105962
hexb9af20

12168992 has 48 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 5472000.

The previous prime is 12168973. The next prime is 12169037. The reversal of 12168992 is 29986121.

12168992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 63617 + ... + 63807.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 212168992 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 12168992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

12168992 is an abundant number, since it is smaller than the sum of its proper divisors (14248672).

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

12168992 is a wasteful number, since it uses less digits than its factorization.

12168992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 12168992 is about 3488.4082329911. The cubic root of 12168992 is about 230.0125512999.

The spelling of 12168992 in words is "twelve million, one hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 181 191 352 362 382 724 764 1448 1528 1991 2101 2896 3056 3982 4202 5792 6112 7964 8404 15928 16808 31856 33616 34571 63712 67232 69142 138284 276568 380281 553136 760562 1106272 1521124 3042248 6084496 12168992