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10389024 = 253236073
BaseRepresentation
bin100111101000…
…011000100000
3201112211001200
4213220120200
510124422044
61010401200
7154206462
oct47503040
921484050
1010389024
115956478
123590200
1321c9969
141546132
15da3369
hex9e8620

10389024 has 36 divisors (see below), whose sum is σ = 29544606. Its totient is φ = 3462912.

The previous prime is 10389013. The next prime is 10389037. The reversal of 10389024 is 42098301.

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 3732624 = 2580^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17749 + ... + 18324.

Almost surely, 210389024 is an apocalyptic number.

It is an amenable number.

10389024 is an abundant number, since it is smaller than the sum of its proper divisors (19155582).

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

10389024 is a wasteful number, since it uses less digits than its factorization.

10389024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36089 (or 36078 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10389024 is about 3223.2008935218. The cubic root of 10389024 is about 218.2017602984.

The spelling of 10389024 in words is "ten million, three hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36073 72146 108219 144292 216438 288584 324657 432876 577168 649314 865752 1154336 1298628 1731504 2597256 3463008 5194512 10389024