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12796820 = 2253717293
BaseRepresentation
bin110000110100…
…001110010100
3220002010221022
4300310032110
511233444240
61134140312
7213525341
oct60641624
926063838
1012796820
117250493
124351698
1328608aa
1419b17c8
1511cb9b5
hexc34394

12796820 has 24 divisors (see below), whose sum is σ = 27601224. Its totient is φ = 4980096.

The previous prime is 12796813. The next prime is 12796829. The reversal of 12796820 is 2869721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 839056 + 11957764 = 916^2 + 3458^2 .

It is a super-2 number, since 2×127968202 = 327517204224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12796829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7907 + ... + 9386.

It is an arithmetic number, because the mean of its divisors is an integer number (1150051).

Almost surely, 212796820 is an apocalyptic number.

12796820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12796820 is an abundant number, since it is smaller than the sum of its proper divisors (14804404).

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

12796820 is a wasteful number, since it uses less digits than its factorization.

12796820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17339 (or 17337 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 12796820 is about 3577.2643178832. The cubic root of 12796820 is about 233.9020458351.

The spelling of 12796820 in words is "twelve million, seven hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 17293 34586 69172 86465 172930 345860 639841 1279682 2559364 3199205 6398410 12796820