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128267412 = 223713235107
BaseRepresentation
bin1111010010100…
…11010010010100
322221100122210220
413221103102110
5230314024122
620421114340
73115153320
oct751232224
9287318726
10128267412
1166449229
1236b589b0
132075cca0
141306c980
15b3da25c
hex7a53494

128267412 has 96 divisors (see below), whose sum is σ = 384448512. Its totient is φ = 32351616.

The previous prime is 128267411. The next prime is 128267417. The reversal of 128267412 is 214762821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128267411) 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 31 ways as a sum of consecutive naturals, for example, 22563 + ... + 27669.

It is an arithmetic number, because the mean of its divisors is an integer number (4004672).

Almost surely, 2128267412 is an apocalyptic number.

128267412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128267412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192224256).

128267412 is an abundant number, since it is smaller than the sum of its proper divisors (256181100).

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

128267412 is a wasteful number, since it uses less digits than its factorization.

128267412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5155 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 128267412 is about 11325.5203853951. The cubic root of 128267412 is about 504.3191320985.

The spelling of 128267412 in words is "one hundred twenty-eight million, two hundred sixty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1092 1196 1794 1932 2093 3588 4186 5107 6279 8372 10214 12558 15321 20428 25116 30642 35749 61284 66391 71498 107247 117461 132782 142996 199173 214494 234922 265564 352383 398346 428988 464737 469844 704766 796692 822227 929474 1394211 1409532 1526993 1644454 1858948 2466681 2788422 3053986 3288908 4580979 4933362 5576844 6107972 9161958 9866724 10688951 18323916 21377902 32066853 42755804 64133706 128267412