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12216096 = 25351571
BaseRepresentation
bin101110100110…
…011100100000
3211222122100000
4232212130200
511111403341
61113500000
7205556304
oct56463440
924878300
1012216096
116994152
124111600
1326b9479
14189dd04
1511148b6
hexba6720

12216096 has 72 divisors (see below), whose sum is σ = 36049104. Its totient is φ = 4069440.

The previous prime is 12216089. The next prime is 12216101. The reversal of 12216096 is 69061221.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6991 + ... + 8561.

It is an arithmetic number, because the mean of its divisors is an integer number (500682).

Almost surely, 212216096 is an apocalyptic number.

12216096 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 12216096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024552).

12216096 is an abundant number, since it is smaller than the sum of its proper divisors (23833008).

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

12216096 is an equidigital number, since it uses as much as digits as its factorization.

12216096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12216096 is about 3495.1532155258. The cubic root of 12216096 is about 230.3089483971.

The spelling of 12216096 in words is "twelve million, two hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1571 1944 2592 3142 3888 4713 6284 7776 9426 12568 14139 18852 25136 28278 37704 42417 50272 56556 75408 84834 113112 127251 150816 169668 226224 254502 339336 381753 452448 509004 678672 763506 1018008 1357344 1527012 2036016 3054024 4072032 6108048 12216096