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12371968 = 2117863
BaseRepresentation
bin101111001100…
…100000000000
3212021120011001
4233030200000
511131400333
61121101344
7210105610
oct57144000
925246131
1012371968
116a90274
124187854
1327423bb
141900a40
151145b7d
hexbcc800

12371968 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 5296128.

The previous prime is 12371929. The next prime is 12371981. The reversal of 12371968 is 86917321.

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, 13905 + ... + 14767.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 212371968 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 12371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

12371968 is an abundant number, since it is smaller than the sum of its proper divisors (15932672).

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

12371968 is an frugal number, since it uses more digits than its factorization.

12371968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 872 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 12371968 is about 3517.3808437529. The cubic root of 12371968 is about 231.2843583719.

The spelling of 12371968 in words is "twelve million, three hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 863 896 1024 1726 1792 2048 3452 3584 6041 6904 7168 12082 13808 14336 24164 27616 48328 55232 96656 110464 193312 220928 386624 441856 773248 883712 1546496 1767424 3092992 6185984 12371968