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12282564 = 2237146221
BaseRepresentation
bin101110110110…
…101011000100
3212010000111210
4232312223010
511121020224
61115131420
7206254140
oct56665304
925100453
1012282564
116a2a088
124143b70
1327107b8
1418ba220
151129429
hexbb6ac4

12282564 has 24 divisors (see below), whose sum is σ = 32753728. Its totient is φ = 3509280.

The previous prime is 12282559. The next prime is 12282577. The reversal of 12282564 is 46528221.

It is a super-2 number, since 2×122825642 = 301722756828192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 73027 + ... + 73194.

Almost surely, 212282564 is an apocalyptic number.

12282564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12282564 is an abundant number, since it is smaller than the sum of its proper divisors (20471164).

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

12282564 is a wasteful number, since it uses less digits than its factorization.

12282564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146235 (or 146233 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 12282564 is about 3504.6489125161. The cubic root of 12282564 is about 230.7258981543.

The spelling of 12282564 in words is "twelve million, two hundred eighty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 146221 292442 438663 584884 877326 1023547 1754652 2047094 3070641 4094188 6141282 12282564