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1328023050 = 235219716563
BaseRepresentation
bin100111100101000…
…0000011000001010
310102112220120010220
41033022000120022
510204433214200
6335440050510
744624003214
oct11712003012
93375816126
101328023050
116216a8412
12310903a36
1318219a173
14c85375b4
157b8c84a0
hex4f28060a

1328023050 has 96 divisors (see below), whose sum is σ = 3516203520. Its totient is φ = 330724800.

The previous prime is 1328023033. The next prime is 1328023061. The reversal of 1328023050 is 503208231.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1328023050.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199069 + ... + 205631.

It is an arithmetic number, because the mean of its divisors is an integer number (36627120).

Almost surely, 21328023050 is an apocalyptic number.

1328023050 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 1328023050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758101760).

1328023050 is an abundant number, since it is smaller than the sum of its proper divisors (2188180470).

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

1328023050 is a wasteful number, since it uses less digits than its factorization.

1328023050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1328023050 is about 36442.0505734790. The cubic root of 1328023050 is about 1099.1792914039.

The spelling of 1328023050 in words is "one billion, three hundred twenty-eight million, twenty-three thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 71 75 95 114 142 150 190 213 285 355 426 475 570 710 950 1065 1349 1425 1775 2130 2698 2850 3550 4047 5325 6563 6745 8094 10650 13126 13490 19689 20235 32815 33725 39378 40470 65630 67450 98445 101175 124697 164075 196890 202350 249394 328150 374091 465973 492225 623485 748182 931946 984450 1246970 1397919 1870455 2329865 2795838 3117425 3740910 4659730 6234850 6989595 8853487 9352275 11649325 13979190 17706974 18704550 23298650 26560461 34947975 44267435 53120922 69895950 88534870 132802305 221337175 265604610 442674350 664011525 1328023050