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12797136 = 2433112693
BaseRepresentation
bin110000110100…
…010011010000
3220002011101000
4300310103100
511234002021
61134142000
7213526302
oct60642320
926064330
1012797136
117250750
124351900
132860a91
1419b1972
1511cbb26
hexc344d0

12797136 has 80 divisors (see below), whose sum is σ = 40086720. Its totient is φ = 3876480.

The previous prime is 12797117. The next prime is 12797143. The reversal of 12797136 is 63179721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12797136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3406 + ... + 6098.

It is an arithmetic number, because the mean of its divisors is an integer number (501084).

Almost surely, 212797136 is an apocalyptic number.

12797136 is a gapful number since it is divisible by the number (16) 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 12797136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20043360).

12797136 is an abundant number, since it is smaller than the sum of its proper divisors (27289584).

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

12797136 is a wasteful number, since it uses less digits than its factorization.

12797136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2709 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 12797136 is about 3577.3084854399. The cubic root of 12797136 is about 233.9039711165.

The spelling of 12797136 in words is "twelve million, seven hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 2693 4752 5386 8079 10772 16158 21544 24237 29623 32316 43088 48474 59246 64632 72711 88869 96948 118492 129264 145422 177738 193896 236984 266607 290844 355476 387792 473968 533214 581688 710952 799821 1066428 1163376 1421904 1599642 2132856 3199284 4265712 6398568 12797136