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12366272 = 262331271
BaseRepresentation
bin101111001011…
…000111000000
3212021021100002
4233023013000
511131210042
61121015132
7210053162
oct57130700
925237302
1012366272
116a86a66
1241844a8
13273c929
1418dc932
151144132
hexbcb1c0

12366272 has 56 divisors (see below), whose sum is σ = 26529792. Its totient is φ = 5702400.

The previous prime is 12366271. The next prime is 12366287. The reversal of 12366272 is 27266321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12366271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45497 + ... + 45767.

Almost surely, 212366272 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 12366272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264896).

12366272 is an abundant number, since it is smaller than the sum of its proper divisors (14163520).

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

12366272 is a wasteful number, since it uses less digits than its factorization.

12366272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 12366272 is about 3516.5710571521. The cubic root of 12366272 is about 231.2488588208.

The spelling of 12366272 in words is "twelve million, three hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 271 368 496 542 713 736 992 1084 1426 1472 1984 2168 2852 4336 5704 6233 8401 8672 11408 12466 16802 17344 22816 24932 33604 45632 49864 67208 99728 134416 193223 199456 268832 386446 398912 537664 772892 1545784 3091568 6183136 12366272