Search a number
-
+
12292728 = 2337210453
BaseRepresentation
bin101110111001…
…001001111000
3212010112110020
4232321021320
511121331403
61115250440
7206325600
oct56711170
925115406
1012292728
116a36788
124149a20
132715306
1418bdc00
15112c453
hexbb9278

12292728 has 48 divisors (see below), whose sum is σ = 35752680. Its totient is φ = 3511872.

The previous prime is 12292699. The next prime is 12292729. The reversal of 12292728 is 82729221.

It is a super-2 number, since 2×122927282 = 302222323363968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12292729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4051 + ... + 6402.

Almost surely, 212292728 is an apocalyptic number.

It is an amenable number.

12292728 is an abundant number, since it is smaller than the sum of its proper divisors (23459952).

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

12292728 is a wasteful number, since it uses less digits than its factorization.

12292728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10476 (or 10465 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 12292728 is about 3506.0986865746. The cubic root of 12292728 is about 230.7895236172.

The spelling of 12292728 in words is "twelve million, two hundred ninety-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 10453 20906 31359 41812 62718 73171 83624 125436 146342 219513 250872 292684 439026 512197 585368 878052 1024394 1536591 1756104 2048788 3073182 4097576 6146364 12292728