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12288045 = 3571110639
BaseRepresentation
bin101110111000…
…000000101101
3212010022000210
4232320000231
511121204140
61115213033
7206306130
oct56700055
925108023
1012288045
116a33210
124147179
132713143
1418bc217
15112ad80
hexbb802d

12288045 has 32 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 5106240.

The previous prime is 12288043. The next prime is 12288047. The reversal of 12288045 is 54088221.

12288045 = T320 + T321 + ... + T473.

It is an interprime number because it is at equal distance from previous prime (12288043) and next prime (12288047).

It is not a de Polignac number, because 12288045 - 21 = 12288043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288043) 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 31 ways as a sum of consecutive naturals, for example, 4165 + ... + 6474.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 212288045 is an apocalyptic number.

12288045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12288045 is a deficient number, since it is larger than the sum of its proper divisors (12226515).

12288045 is a wasteful number, since it uses less digits than its factorization.

12288045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10665.

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 12288045 is about 3505.4307866509. The cubic root of 12288045 is about 230.7602129382.

The spelling of 12288045 in words is "twelve million, two hundred eighty-eight thousand, forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 10639 31917 53195 74473 117029 159585 223419 351087 372365 585145 819203 1117095 1755435 2457609 4096015 12288045