Search a number
-
+
12828726 = 233353673
BaseRepresentation
bin110000111100…
…000000110110
3220010202201000
4300330000312
511241004401
61134544130
7214020351
oct60740066
926122630
1012828726
117272459
124368046
132872281
1419bd298
1511d6186
hexc3c036

12828726 has 32 divisors (see below), whose sum is σ = 28631520. Its totient is φ = 4257792.

The previous prime is 12828721. The next prime is 12828757. The reversal of 12828726 is 62782821.

It is a happy number.

It is a super-3 number, since 3×128287263 (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18726 + ... + 19398.

It is an arithmetic number, because the mean of its divisors is an integer number (894735).

Almost surely, 212828726 is an apocalyptic number.

12828726 is an abundant number, since it is smaller than the sum of its proper divisors (15802794).

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

12828726 is a wasteful number, since it uses less digits than its factorization.

12828726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1031 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 12828726 is about 3581.7210946694. The cubic root of 12828726 is about 234.0962785927.

The spelling of 12828726 in words is "twelve million, eight hundred twenty-eight thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 353 673 706 1059 1346 2019 2118 3177 4038 6057 6354 9531 12114 18171 19062 36342 237569 475138 712707 1425414 2138121 4276242 6414363 12828726