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128106088 = 2311353227
BaseRepresentation
bin1111010001010…
…11111001101000
322221001110111221
413220223321220
5230243343323
620413431424
73113612065
oct750537150
9287043457
10128106088
1166349000
1236a9b574
1320704726
1413029c6c
15b3a755d
hex7a2be68

128106088 has 64 divisors (see below), whose sum is σ = 270371520. Its totient is φ = 56879680.

The previous prime is 128106061. The next prime is 128106089. The reversal of 128106088 is 880601821.

It is a super-2 number, since 2×1281060882 = 32822339565327488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128106089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564231 + ... + 564457.

It is an arithmetic number, because the mean of its divisors is an integer number (4224555).

Almost surely, 2128106088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128106088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135185760).

128106088 is an abundant number, since it is smaller than the sum of its proper divisors (142265432).

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

128106088 is a wasteful number, since it uses less digits than its factorization.

128106088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 128106088 is about 11318.3959994338. The cubic root of 128106088 is about 504.1076132853.

The spelling of 128106088 in words is "one hundred twenty-eight million, one hundred six thousand, eighty-eight".

Divisors: 1 2 4 8 11 22 44 53 88 106 121 212 227 242 424 454 484 583 908 968 1166 1331 1816 2332 2497 2662 4664 4994 5324 6413 9988 10648 12031 12826 19976 24062 25652 27467 48124 51304 54934 70543 96248 109868 132341 141086 219736 264682 282172 302137 529364 564344 604274 1058728 1208548 1455751 2417096 2911502 5823004 11646008 16013261 32026522 64053044 128106088