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128328300 = 2235525281
BaseRepresentation
bin1111010011000…
…10001001101100
322221110202100000
413221202021230
5230323001200
620422304300
73115525662
oct751421154
9287422300
10128328300
116648aa51
1236b88090
1320781909
1413086c32
15b3ed300
hex7a6226c

128328300 has 108 divisors (see below), whose sum is σ = 417214616. Its totient is φ = 34214400.

The previous prime is 128328289. The next prime is 128328307. The reversal of 128328300 is 3823821.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (128328307) 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 35 ways as a sum of consecutive naturals, for example, 21660 + ... + 26940.

Almost surely, 2128328300 is an apocalyptic number.

128328300 is a gapful number since it is divisible by the number (10) 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 128328300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208607308).

128328300 is an abundant number, since it is smaller than the sum of its proper divisors (288886316).

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

128328300 is a wasteful number, since it uses less digits than its factorization.

128328300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5291 counting only the distinct ones).

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

The square root of 128328300 is about 11328.2081548672. The cubic root of 128328300 is about 504.3989188640.

The spelling of 128328300 in words is "one hundred twenty-eight million, three hundred twenty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 5281 6075 8100 10562 12150 15843 21124 24300 26405 31686 47529 52810 63372 79215 95058 105620 132025 142587 158430 190116 237645 264050 285174 316860 396075 427761 475290 528100 570348 712935 792150 855522 950580 1188225 1283283 1425870 1584300 1711044 2138805 2376450 2566566 2851740 3564675 4277610 4752900 5133132 6416415 7129350 8555220 10694025 12832830 14258700 21388050 25665660 32082075 42776100 64164150 128328300