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12777728 = 28193771
BaseRepresentation
bin110000101111…
…100100000000
3220001011202012
4300233210000
511232341403
61133512052
7213415565
oct60574400
926034665
1012777728
117238107
124342628
132854cb2
1419a886c
1511c5ed8
hexc2f900

12777728 has 72 divisors (see below), whose sum is σ = 27961920. Its totient is φ = 5806080.

The previous prime is 12777703. The next prime is 12777763. The reversal of 12777728 is 82777721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179933 + ... + 180003.

It is an arithmetic number, because the mean of its divisors is an integer number (388360).

Almost surely, 212777728 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 12777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980960).

12777728 is an abundant number, since it is smaller than the sum of its proper divisors (15184192).

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

12777728 is an equidigital number, since it uses as much as digits as its factorization.

12777728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its digits is 76832, while the sum is 41.

The square root of 12777728 is about 3574.5948022119. The cubic root of 12777728 is about 233.7856658667.

The spelling of 12777728 in words is "twelve million, seven hundred seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 37 38 64 71 74 76 128 142 148 152 256 284 296 304 568 592 608 703 1136 1184 1216 1349 1406 2272 2368 2432 2627 2698 2812 4544 4736 4864 5254 5396 5624 9088 9472 10508 10792 11248 18176 21016 21584 22496 42032 43168 44992 49913 84064 86336 89984 99826 168128 172672 179968 199652 336256 345344 399304 672512 798608 1597216 3194432 6388864 12777728