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12888736 = 257163353
BaseRepresentation
bin110001001010…
…101010100000
3220020211000121
4301022222200
511244414421
61140130024
7214360330
oct61125240
926224017
1012888736
117303553
124396914
132893693
1419d70c0
1511e8d41
hexc4aaa0

12888736 has 48 divisors (see below), whose sum is σ = 29260224. Its totient is φ = 5474304.

The previous prime is 12888721. The next prime is 12888739. The reversal of 12888736 is 63788821.

It is a happy number.

It is a super-2 number, since 2×128887362 = 332239031355392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12888692 and 12888701.

It is not an unprimeable number, because it can be changed into a prime (12888739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36336 + ... + 36688.

It is an arithmetic number, because the mean of its divisors is an integer number (609588).

Almost surely, 212888736 is an apocalyptic number.

12888736 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 12888736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630112).

12888736 is an abundant number, since it is smaller than the sum of its proper divisors (16371488).

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

12888736 is a wasteful number, since it uses less digits than its factorization.

12888736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 12888736 is about 3590.0885782944. The cubic root of 12888736 is about 234.4607281295.

The spelling of 12888736 in words is "twelve million, eight hundred eighty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 326 353 652 706 1141 1304 1412 2282 2471 2608 2824 4564 4942 5216 5648 9128 9884 11296 18256 19768 36512 39536 57539 79072 115078 230156 402773 460312 805546 920624 1611092 1841248 3222184 6444368 12888736