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12327296 = 27193499
BaseRepresentation
bin101111000001…
…100110000000
3212012021212112
4233001212000
511123433141
61120114452
7206531432
oct57014600
925167775
1012327296
116a5a753
124165a28
132727c77
1418cc652
1511377eb
hexbc1980

12327296 has 32 divisors (see below), whose sum is σ = 24735000. Its totient is φ = 6119424.

The previous prime is 12327281. The next prime is 12327311. The reversal of 12327296 is 69272321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12327281) and next prime (12327311).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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, 24455 + ... + 24953.

Almost surely, 212327296 is an apocalyptic number.

12327296 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 12327296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12367500).

12327296 is an abundant number, since it is smaller than the sum of its proper divisors (12407704).

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

12327296 is an equidigital number, since it uses as much as digits as its factorization.

12327296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 12327296 is about 3511.0249215863. The cubic root of 12327296 is about 231.0056531790.

The spelling of 12327296 in words is "twelve million, three hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 193 386 499 772 998 1544 1996 3088 3992 6176 7984 12352 15968 24704 31936 63872 96307 192614 385228 770456 1540912 3081824 6163648 12327296