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12288430 = 2571115959
BaseRepresentation
bin101110111000…
…000110101110
3212010022120001
4232320012232
511121212210
61115214514
7206310220
oct56700656
925108501
1012288430
116a33530
12414743a
13271337b
1418bc410
15112b03a
hexbb81ae

12288430 has 32 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 3829920.

The previous prime is 12288427. The next prime is 12288439. The reversal of 12288430 is 3488221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288439) 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 15 ways as a sum of consecutive naturals, for example, 7210 + ... + 8749.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 212288430 is an apocalyptic number.

12288430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12288430 is an abundant number, since it is smaller than the sum of its proper divisors (15290450).

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

12288430 is a wasteful number, since it uses less digits than its factorization.

12288430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15984.

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 12288430 is about 3505.4857010121. The cubic root of 12288430 is about 230.7626229162.

The spelling of 12288430 in words is "twelve million, two hundred eighty-eight thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 15959 31918 79795 111713 159590 175549 223426 351098 558565 877745 1117130 1228843 1755490 2457686 6144215 12288430