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10052835 = 3513311663
BaseRepresentation
bin100110010110…
…010011100011
3200220201220020
4212112103203
510033142320
6555244523
7151306362
oct46262343
920821806
1010052835
115746931
123449743
13210c930
1414997d9
15d38940
hex9964e3

10052835 has 32 divisors (see below), whose sum is σ = 17891328. Its totient is φ = 4786560.

The previous prime is 10052807. The next prime is 10052837. The reversal of 10052835 is 53825001.

10052835 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10052835 - 29 = 10052323 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10052837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5214 + ... + 6876.

It is an arithmetic number, because the mean of its divisors is an integer number (559104).

Almost surely, 210052835 is an apocalyptic number.

10052835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10052835 is a deficient number, since it is larger than the sum of its proper divisors (7838493).

10052835 is a wasteful number, since it uses less digits than its factorization.

10052835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 10052835 is about 3170.6206017119. The cubic root of 10052835 is about 215.8222345712.

Adding to 10052835 its reverse (53825001), we get a palindrome (63877836).

The spelling of 10052835 in words is "ten million, fifty-two thousand, eight hundred thirty-five".

Divisors: 1 3 5 13 15 31 39 65 93 155 195 403 465 1209 1663 2015 4989 6045 8315 21619 24945 51553 64857 108095 154659 257765 324285 670189 773295 2010567 3350945 10052835