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12264040 = 2352571193
BaseRepresentation
bin101110110010…
…001001101000
3212002002002201
4232302021220
511114422130
61114505544
7206146135
oct56621150
925062081
1012264040
116a17178
1241352b4
132705239
1418b358c
151123bca
hexbb2268

12264040 has 32 divisors (see below), whose sum is σ = 27724680. Its totient is φ = 4882432.

The previous prime is 12264029. The next prime is 12264047. The reversal of 12264040 is 4046221.

It can be written as a sum of positive squares in 4 ways, for example, as 12068676 + 195364 = 3474^2 + 442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12263999 and 12264017.

It is not an unprimeable number, because it can be changed into a prime (12264047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9684 + ... + 10876.

Almost surely, 212264040 is an apocalyptic number.

12264040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12264040 is an abundant number, since it is smaller than the sum of its proper divisors (15460640).

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

12264040 is a wasteful number, since it uses less digits than its factorization.

12264040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 12264040 is about 3502.0051399163. The cubic root of 12264040 is about 230.6098497207.

The spelling of 12264040 in words is "twelve million, two hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 257 514 1028 1193 1285 2056 2386 2570 4772 5140 5965 9544 10280 11930 23860 47720 306601 613202 1226404 1533005 2452808 3066010 6132020 12264040