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12885372 = 2233229521
BaseRepresentation
bin110001001001…
…110101111100
3220020122102000
4301021311330
511244312442
61140102300
7214344453
oct61116574
926218360
1012885372
117300a75
124394990
132891ca6
1419d5b9a
1511e7d4c
hexc49d7c

12885372 has 48 divisors (see below), whose sum is σ = 33616800. Its totient is φ = 4268160.

The previous prime is 12885349. The next prime is 12885409. The reversal of 12885372 is 27358821.

12885372 is a `hidden beast` number, since 1 + 288 + 5 + 372 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24472 + ... + 24992.

It is an arithmetic number, because the mean of its divisors is an integer number (700350).

Almost surely, 212885372 is an apocalyptic number.

12885372 is a gapful number since it is divisible by the number (12) 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 12885372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808400).

12885372 is an abundant number, since it is smaller than the sum of its proper divisors (20731428).

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

12885372 is a wasteful number, since it uses less digits than its factorization.

12885372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 755 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12885372 is about 3589.6200356027. The cubic root of 12885372 is about 234.4403280292.

The spelling of 12885372 in words is "twelve million, eight hundred eighty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 521 687 916 1042 1374 1563 2061 2084 2748 3126 4122 4689 6183 6252 8244 9378 12366 14067 18756 24732 28134 56268 119309 238618 357927 477236 715854 1073781 1431708 2147562 3221343 4295124 6442686 12885372