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12547968 = 27341797
BaseRepresentation
bin101111110111…
…011110000000
3212121111120120
4233313132000
511203013333
61124540240
7211440666
oct57673600
925544516
1012547968
1170a0524
124251680
1327a4544
141948c36
15117cdb3
hexbf7780

12547968 has 64 divisors (see below), whose sum is σ = 34186320. Its totient is φ = 4075520.

The previous prime is 12547957. The next prime is 12547991. The reversal of 12547968 is 86974521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15346 + ... + 16142.

Almost surely, 212547968 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 12547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093160).

12547968 is an abundant number, since it is smaller than the sum of its proper divisors (21638352).

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

12547968 is an equidigital number, since it uses as much as digits as its factorization.

12547968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 843 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 12547968 is about 3542.3111099958. The cubic root of 12547968 is about 232.3759264002.

The spelling of 12547968 in words is "twelve million, five hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 797 984 1312 1594 1968 2391 2624 3188 3936 4782 5248 6376 7872 9564 12752 15744 19128 25504 32677 38256 51008 65354 76512 98031 102016 130708 153024 196062 261416 306048 392124 522832 784248 1045664 1568496 2091328 3136992 4182656 6273984 12547968