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1328043150 = 2325271732437
BaseRepresentation
bin100111100101000…
…0101010010001110
310102112221120201100
41033022011102032
510204434340100
6335440323530
744624115630
oct11712052216
93375846640
101328043150
11621711525
123109135a6
131821a6365
14c8540a50
157b8ce400
hex4f28548e

1328043150 has 144 divisors (see below), whose sum is σ = 4102978464. Its totient is φ = 301674240.

The previous prime is 1328043121. The next prime is 1328043163. The reversal of 1328043150 is 513408231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 543732 + ... + 546168.

It is an arithmetic number, because the mean of its divisors is an integer number (28492906).

Almost surely, 21328043150 is an apocalyptic number.

1328043150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328043150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051489232).

1328043150 is an abundant number, since it is smaller than the sum of its proper divisors (2774935314).

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

1328043150 is a wasteful number, since it uses less digits than its factorization.

1328043150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1328043150 is about 36442.3263527454. The cubic root of 1328043150 is about 1099.1848368379.

The spelling of 1328043150 in words is "one billion, three hundred twenty-eight million, forty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 173 175 210 225 315 346 350 450 519 525 630 865 1038 1050 1211 1557 1575 1730 2422 2437 2595 3114 3150 3633 4325 4874 5190 6055 7266 7311 7785 8650 10899 12110 12185 12975 14622 15570 17059 18165 21798 21933 24370 25950 30275 34118 36330 36555 38925 43866 51177 54495 60550 60925 73110 77850 85295 90825 102354 108990 109665 121850 153531 170590 181650 182775 219330 255885 272475 307062 365550 421601 426475 511770 544950 548325 767655 843202 852950 1096650 1264803 1279425 1535310 2108005 2529606 2558850 2951207 3794409 3838275 4216010 5902414 6324015 7588818 7676550 8853621 10540025 12648030 14756035 17707242 18972045 21080050 26560863 29512070 31620075 37944090 44268105 53121726 63240150 73780175 88536210 94860225 132804315 147560350 189720450 221340525 265608630 442681050 664021575 1328043150