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12726272 = 21213239
BaseRepresentation
bin110000100011…
…000000000000
3212221120011102
4300203000000
511224220042
61132433532
7213112556
oct60430000
925846142
1012726272
117202489
1243188a8
132837750
141993bd6
1511b5b32
hexc23000

12726272 has 52 divisors (see below), whose sum is σ = 27521760. Its totient is φ = 5849088.

The previous prime is 12726271. The next prime is 12726283. The reversal of 12726272 is 27262721.

It is a tau number, because it is divible by the number of its divisors (52).

It is not an unprimeable number, because it can be changed into a prime (12726271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53129 + ... + 53367.

Almost surely, 212726272 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 12726272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760880).

12726272 is an abundant number, since it is smaller than the sum of its proper divisors (14795488).

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

12726272 is an equidigital number, since it uses as much as digits as its factorization.

12726272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 12726272 is about 3567.3900823992. The cubic root of 12726272 is about 233.4714248344.

Adding to 12726272 its reverse (27262721), we get a palindrome (39988993).

The spelling of 12726272 in words is "twelve million, seven hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 239 256 416 478 512 832 956 1024 1664 1912 2048 3107 3328 3824 4096 6214 6656 7648 12428 13312 15296 24856 26624 30592 49712 53248 61184 99424 122368 198848 244736 397696 489472 795392 978944 1590784 3181568 6363136 12726272