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128305960 = 23523891567
BaseRepresentation
bin1111010010111…
…00101100101000
322221102121200121
413221130230220
5230321242320
620422013024
73115403566
oct751345450
9287377617
10128305960
1166475192
1236b77174
13207746b3
141307ca36
15b3e68aa
hex7a5cb28

128305960 has 64 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 48508416.

The previous prime is 128305927. The next prime is 128305979. The reversal of 128305960 is 69503821.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81097 + ... + 82663.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2128305960 is an apocalyptic number.

128305960 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 128305960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

128305960 is an abundant number, since it is smaller than the sum of its proper divisors (176513240).

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

128305960 is a wasteful number, since it uses less digits than its factorization.

128305960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 128305960 is about 11327.2220778088. Note that the first 3 decimals coincide. The cubic root of 128305960 is about 504.3696477789.

The spelling of 128305960 in words is "one hundred twenty-eight million, three hundred five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 89 92 115 178 184 230 356 445 460 712 890 920 1567 1780 2047 3134 3560 4094 6268 7835 8188 10235 12536 15670 16376 20470 31340 36041 40940 62680 72082 81880 139463 144164 180205 278926 288328 360410 557852 697315 720820 1115704 1394630 1441640 2789260 3207649 5578520 6415298 12830596 16038245 25661192 32076490 64152980 128305960