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10392304 = 2413172939
BaseRepresentation
bin100111101001…
…001011110000
3201112222120011
4213221023300
510130023204
61010424304
7154222156
oct47511360
921488504
1010392304
11595898a
123592094
1321cb2c0
1415473d6
15da4304
hex9e92f0

10392304 has 40 divisors (see below), whose sum is σ = 22967280. Its totient is φ = 4512768.

The previous prime is 10392299. The next prime is 10392313. The reversal of 10392304 is 40329301.

10392304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2067 + ... + 5005.

It is an arithmetic number, because the mean of its divisors is an integer number (574182).

Almost surely, 210392304 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 10392304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483640).

10392304 is an abundant number, since it is smaller than the sum of its proper divisors (12574976).

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

10392304 is a wasteful number, since it uses less digits than its factorization.

10392304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 10392304 is about 3223.7096643463. The cubic root of 10392304 is about 218.2247212768.

The spelling of 10392304 in words is "ten million, three hundred ninety-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 2939 3536 5878 11756 23512 38207 47024 49963 76414 99926 152828 199852 305656 399704 611312 649519 799408 1299038 2598076 5196152 10392304