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128325740 = 22523318999
BaseRepresentation
bin1111010011000…
…01100001101100
322221110121211012
413221201201230
5230322410430
620422244352
73115515344
oct751414154
9287417735
10128325740
1166489034
1236b866b8
13207806ba
1413085d24
15b3ec695
hex7a6186c

128325740 has 48 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 47509440.

The previous prime is 128325739. The next prime is 128325749. The reversal of 128325740 is 47523821.

It is a junction number, because it is equal to n+sod(n) for n = 128325697 and 128325706.

It is not an unprimeable number, because it can be changed into a prime (128325749) 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, 9761 + ... + 18759.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2128325740 is an apocalyptic number.

128325740 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 128325740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

128325740 is an abundant number, since it is smaller than the sum of its proper divisors (161978260).

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

128325740 is a wasteful number, since it uses less digits than its factorization.

128325740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9062 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 128325740 is about 11328.0951620297. The cubic root of 128325740 is about 504.3955647849.

The spelling of 128325740 in words is "one hundred twenty-eight million, three hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2852 3565 7130 8999 14260 17998 35996 44995 89990 179980 206977 278969 413954 557938 827908 1034885 1115876 1394845 2069770 2789690 4139540 5579380 6416287 12832574 25665148 32081435 64162870 128325740