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10285704 = 2335111337
BaseRepresentation
bin100111001111…
…001010001000
3201100120100000
4213033022020
510113120304
61004243000
7153266322
oct47171210
921316300
1010285704
115895890
123540460
132191920
14151a612
15d82939
hex9cf288

10285704 has 192 divisors, whose sum is σ = 34856640. Its totient is φ = 2799360.

The previous prime is 10285679. The next prime is 10285757. The reversal of 10285704 is 40758201.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 277974 + ... + 278010.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 210285704 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 10285704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

10285704 is an abundant number, since it is smaller than the sum of its proper divisors (24570936).

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

10285704 is a wasteful number, since it uses less digits than its factorization.

10285704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10285704 is about 3207.1332993812. The cubic root of 10285704 is about 217.4760021085.

The spelling of 10285704 in words is "ten million, two hundred eighty-five thousand, seven hundred four".