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12320768 = 21847
BaseRepresentation
bin101111000000…
…000000000000
3212011221220202
4233000000000
511123231033
61120024332
7206503415
oct57000000
925157822
1012320768
116a55859
1241620a8
132724cc5
1418ca10c
1511358e8
hexbc0000

12320768 has 38 divisors (see below), whose sum is σ = 25165776. Its totient is φ = 6029312.

The previous prime is 12320753. The next prime is 12320773. The reversal of 12320768 is 86702321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12320768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262121 + ... + 262167.

Almost surely, 212320768 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 12320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582888).

12320768 is an abundant number, since it is smaller than the sum of its proper divisors (12845008).

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

12320768 is an frugal number, since it uses more digits than its factorization.

12320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 12320768 is about 3510.0951554053. The cubic root of 12320768 is about 230.9648691289.

The spelling of 12320768 in words is "twelve million, three hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1024 1504 2048 3008 4096 6016 8192 12032 16384 24064 32768 48128 65536 96256 131072 192512 262144 385024 770048 1540096 3080192 6160384 12320768