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12274656 = 253294409
BaseRepresentation
bin101110110100…
…101111100000
3212002121122220
4232310233200
511120242111
61115031040
7206222112
oct56645740
925077586
1012274656
116a24149
12413b480
13270a014
1418b73b2
151126e06
hexbb4be0

12274656 has 48 divisors (see below), whose sum is σ = 33339600. Its totient is φ = 3949568.

The previous prime is 12274643. The next prime is 12274657. The reversal of 12274656 is 65647221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12274657) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 580 + ... + 4988.

It is an arithmetic number, because the mean of its divisors is an integer number (694575).

Almost surely, 212274656 is an apocalyptic number.

12274656 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 12274656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669800).

12274656 is an abundant number, since it is smaller than the sum of its proper divisors (21064944).

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

12274656 is a wasteful number, since it uses less digits than its factorization.

12274656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4443 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 12274656 is about 3503.5205151390. The cubic root of 12274656 is about 230.6763707071.

The spelling of 12274656 in words is "twelve million, two hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 4409 8818 13227 17636 26454 35272 52908 70544 105816 127861 141088 211632 255722 383583 423264 511444 767166 1022888 1534332 2045776 3068664 4091552 6137328 12274656