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12240788 = 2272192173
BaseRepresentation
bin101110101100…
…011110010100
3212000220012112
4232230132110
511113201123
61114210152
7206021300
oct56543624
925026175
1012240788
116a0075a
124123958
1326c7791
1418a8d00
15111bd78
hexbac794

12240788 has 54 divisors (see below), whose sum is σ = 26451306. Its totient is φ = 4941216.

The previous prime is 12240779. The next prime is 12240803. The reversal of 12240788 is 88704221.

It can be written as a sum of positive squares in only one way, i.e., 11957764 + 283024 = 3458^2 + 532^2 .

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 17 ways as a sum of consecutive naturals, for example, 70670 + ... + 70842.

It is an arithmetic number, because the mean of its divisors is an integer number (489839).

Almost surely, 212240788 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 12240788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225653).

12240788 is an abundant number, since it is smaller than the sum of its proper divisors (14210518).

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

12240788 is a wasteful number, since it uses less digits than its factorization.

12240788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 12240788 is about 3498.6837524989. The cubic root of 12240788 is about 230.4640159775.

The spelling of 12240788 in words is "twelve million, two hundred forty thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 173 196 266 346 361 532 692 722 931 1211 1444 1862 2422 2527 3287 3724 4844 5054 6574 8477 10108 13148 16954 17689 23009 33908 35378 46018 62453 70756 92036 124906 161063 249812 322126 437171 644252 874342 1748684 3060197 6120394 12240788