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12733272 = 233217101103
BaseRepresentation
bin110000100100…
…101101011000
3212221220202200
4300210231120
511224431042
61132530200
7213142146
oct60445530
925856680
1012733272
117207772
124320960
13283a9a6
141996596
1511b7c4c
hexc24b58

12733272 has 96 divisors (see below), whose sum is σ = 37234080. Its totient is φ = 3916800.

The previous prime is 12733267. The next prime is 12733297. The reversal of 12733272 is 27233721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123573 + ... + 123675.

It is an arithmetic number, because the mean of its divisors is an integer number (387855).

Almost surely, 212733272 is an apocalyptic number.

12733272 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 12733272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617040).

12733272 is an abundant number, since it is smaller than the sum of its proper divisors (24500808).

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

12733272 is a wasteful number, since it uses less digits than its factorization.

12733272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 12733272 is about 3568.3710569390. The cubic root of 12733272 is about 233.5142234487.

Adding to 12733272 its reverse (27233721), we get a palindrome (39966993).

The spelling of 12733272 in words is "twelve million, seven hundred thirty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 101 102 103 136 153 202 204 206 303 306 309 404 408 412 606 612 618 808 824 909 927 1212 1224 1236 1717 1751 1818 1854 2424 2472 3434 3502 3636 3708 5151 5253 6868 7004 7272 7416 10302 10403 10506 13736 14008 15453 15759 20604 20806 21012 30906 31209 31518 41208 41612 42024 61812 62418 63036 83224 93627 123624 124836 126072 176851 187254 249672 353702 374508 530553 707404 749016 1061106 1414808 1591659 2122212 3183318 4244424 6366636 12733272