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1993328 = 24197983
BaseRepresentation
bin111100110101001110000
310202021022222
413212221300
51002241303
6110420212
722641311
oct7465160
93667288
101993328
111141687
12801668
1354a3ac
1439c608
15295938
hex1e6a70

1993328 has 40 divisors (see below), whose sum is σ = 4166400. Its totient is φ = 921024.

The previous prime is 1993319. The next prime is 1993339. The reversal of 1993328 is 8233991.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23975 + ... + 24057.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

21993328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083200).

1993328 is an abundant number, since it is smaller than the sum of its proper divisors (2173072).

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

1993328 is a wasteful number, since it uses less digits than its factorization.

1993328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 1993328 is about 1411.8526835332. The cubic root of 1993328 is about 125.8518456846.

The spelling of 1993328 in words is "one million, nine hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 79 83 152 158 166 304 316 332 632 664 1264 1328 1501 1577 3002 3154 6004 6308 6557 12008 12616 13114 24016 25232 26228 52456 104912 124583 249166 498332 996664 1993328