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12794112 = 2834617
BaseRepresentation
bin110000110011…
…100100000000
3220002000020000
4300303210000
511233402422
61134120000
7213514422
oct60634400
926060200
1012794112
117249451
124350000
13285c5a6
1419b0812
1511cacac
hexc33900

12794112 has 90 divisors (see below), whose sum is σ = 38211558. Its totient is φ = 4257792.

The previous prime is 12794101. The next prime is 12794113. The reversal of 12794112 is 21149721.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 5308416 = 2736^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12794113) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20428 + ... + 21044.

Almost surely, 212794112 is an apocalyptic number.

12794112 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 12794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105779).

12794112 is an abundant number, since it is smaller than the sum of its proper divisors (25417446).

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

12794112 is an frugal number, since it uses more digits than its factorization.

12794112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 622 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 12794112 is about 3576.8857963318. The cubic root of 12794112 is about 233.8855456049.

The spelling of 12794112 in words is "twelve million, seven hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 617 648 768 864 1152 1234 1296 1728 1851 2304 2468 2592 3456 3702 4936 5184 5553 6912 7404 9872 10368 11106 14808 16659 19744 20736 22212 29616 33318 39488 44424 49977 59232 66636 78976 88848 99954 118464 133272 157952 177696 199908 236928 266544 355392 399816 473856 533088 710784 799632 1066176 1421568 1599264 2132352 3198528 4264704 6397056 12794112