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12914688 = 21231051
BaseRepresentation
bin110001010001…
…000000000000
3220022010121210
4301101000000
511301232223
61140450120
7214526103
oct61210000
926263553
1012914688
117320aa6
1243a9940
1328a2437
141a0273a
151201893
hexc51000

12914688 has 52 divisors (see below), whose sum is σ = 34467728. Its totient is φ = 4300800.

The previous prime is 12914659. The next prime is 12914723. The reversal of 12914688 is 88641921.

It is a super-2 number, since 2×129146882 = 333578332274688, which contains 22 as substring.

It is a nialpdrome in base 16.

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 in 3 ways as a sum of consecutive naturals, for example, 11763 + ... + 12813.

Almost surely, 212914688 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 12914688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233864).

12914688 is an abundant number, since it is smaller than the sum of its proper divisors (21553040).

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

12914688 is an equidigital number, since it uses as much as digits as its factorization.

12914688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1056 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 12914688 is about 3593.7011561898. The cubic root of 12914688 is about 234.6179880664.

The spelling of 12914688 in words is "twelve million, nine hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1051 1536 2048 2102 3072 3153 4096 4204 6144 6306 8408 12288 12612 16816 25224 33632 50448 67264 100896 134528 201792 269056 403584 538112 807168 1076224 1614336 2152448 3228672 4304896 6457344 12914688