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128364012 = 223272322147
BaseRepresentation
bin1111010011010…
…10110111101100
322221112120022200
413221222313230
5230330122022
620423141500
73116035050
oct751526754
9287476280
10128364012
1166504867
1236ba4890
1320794c4a
1413095c60
15b408bac
hex7a6adec

128364012 has 72 divisors (see below), whose sum is σ = 386969856. Its totient is φ = 35079264.

The previous prime is 128364011. The next prime is 128364017. The reversal of 128364012 is 210463821.

128364012 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 640 + 12 = 666.

It is a super-2 number, since 2×1283640122 = 32954639153472288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128364011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5278 + ... + 16869.

Almost surely, 2128364012 is an apocalyptic number.

128364012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128364012 is an abundant number, since it is smaller than the sum of its proper divisors (258605844).

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

128364012 is a wasteful number, since it uses less digits than its factorization.

128364012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22187 (or 22182 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 128364012 is about 11329.7842874434. The cubic root of 128364012 is about 504.4457036172.

The spelling of 128364012 in words is "one hundred twenty-eight million, three hundred sixty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 22147 44294 66441 88588 132882 155029 199323 265764 310058 398646 465087 509381 620116 797292 930174 1018762 1395261 1528143 1860348 2037524 2790522 3056286 3565667 4584429 5581044 6112572 7131334 9168858 10697001 14262668 18337716 21394002 32091003 42788004 64182006 128364012