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12168896 = 261071777
BaseRepresentation
bin101110011010…
…111011000000
3211220020120212
4232122323000
511103401041
61112453252
7205301555
oct56327300
924806525
1012168896
116961743
1240aa228
1326a0b3c
14188aa2c
1511058eb
hexb9aec0

12168896 has 28 divisors (see below), whose sum is σ = 24387048. Its totient is φ = 6024192.

The previous prime is 12168883. The next prime is 12168901. The reversal of 12168896 is 69886121.

12168896 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 3 ways as a sum of consecutive naturals, for example, 5960 + ... + 7736.

It is an arithmetic number, because the mean of its divisors is an integer number (870966).

Almost surely, 212168896 is an apocalyptic number.

12168896 is a gapful number since it is divisible by the number (16) 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 12168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193524).

12168896 is an abundant number, since it is smaller than the sum of its proper divisors (12218152).

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

12168896 is a wasteful number, since it uses less digits than its factorization.

12168896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1886 counting only the distinct ones).

The product of its digits is 41472, while the sum is 41.

The square root of 12168896 is about 3488.3944731065. The cubic root of 12168896 is about 230.0119464494.

The spelling of 12168896 in words is "twelve million, one hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 107 214 428 856 1712 1777 3424 3554 6848 7108 14216 28432 56864 113728 190139 380278 760556 1521112 3042224 6084448 12168896