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12774916 = 22711193759
BaseRepresentation
bin110000101110…
…111000000100
3220001000220001
4300232320010
511232244131
61133451044
7213404440
oct60567004
926030801
1012774916
117235a90
124340a84
13285392b
1419a7820
1511c5261
hexc2ee04

12774916 has 96 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 4510080.

The previous prime is 12774911. The next prime is 12774917. The reversal of 12774916 is 61947721.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (12774911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216495 + ... + 216553.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 212774916 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 12774916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321600).

12774916 is an abundant number, since it is smaller than the sum of its proper divisors (17868284).

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

12774916 is a wasteful number, since it uses less digits than its factorization.

12774916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 12774916 is about 3574.2014492751. The cubic root of 12774916 is about 233.7685148384.

It can be divided in two parts, 127749 and 16, that added together give a triangular number (127765 = T505).

The spelling of 12774916 in words is "twelve million, seven hundred seventy-four thousand, nine hundred sixteen".

Divisors: 1 2 4 7 11 14 19 22 28 37 38 44 59 74 76 77 118 133 148 154 209 236 259 266 308 407 413 418 518 532 649 703 814 826 836 1036 1121 1298 1406 1463 1628 1652 2183 2242 2596 2812 2849 2926 4366 4484 4543 4921 5698 5852 7733 7847 8732 9086 9842 11396 12331 15281 15466 15694 18172 19684 24013 24662 30562 30932 31388 41477 48026 49324 54131 61124 82954 86317 96052 108262 165908 168091 172634 216524 290339 336182 345268 456247 580678 672364 912494 1161356 1824988 3193729 6387458 12774916