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10728384 = 26371787
BaseRepresentation
bin101000111011…
…001111000000
3202012001120120
4220323033000
510221302014
61021540240
7160122042
oct50731700
922161516
1010728384
116068437
123714680
1322b8274
1415d3a92
15e1dba9
hexa3b3c0

10728384 has 56 divisors (see below), whose sum is σ = 28821888. Its totient is φ = 3521280.

The previous prime is 10728379. The next prime is 10728397. The reversal of 10728384 is 48382701.

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, 13239 + ... + 14025.

Almost surely, 210728384 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 10728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410944).

10728384 is an abundant number, since it is smaller than the sum of its proper divisors (18093504).

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

10728384 is an equidigital number, since it uses as much as digits as its factorization.

10728384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 10728384 is about 3275.4211942894. The cubic root of 10728384 is about 220.5522215256.

The spelling of 10728384 in words is "ten million, seven hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 787 852 1136 1574 1704 2272 2361 3148 3408 4544 4722 6296 6816 9444 12592 13632 18888 25184 37776 50368 55877 75552 111754 151104 167631 223508 335262 447016 670524 894032 1341048 1788064 2682096 3576128 5364192 10728384