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9835040 = 25561469
BaseRepresentation
bin100101100001…
…001000100000
3200111200010202
4211201020200
510004210130
6550444332
7146411405
oct45411040
920450122
109835040
115608236
1233636a8
132064767
1414402ac
15ce4145
hex961220

9835040 has 24 divisors (see below), whose sum is σ = 23235660. Its totient is φ = 3933952.

The previous prime is 9835037. The next prime is 9835069. The reversal of 9835040 is 405389.

It can be written as a sum of positive squares in 2 ways, for example, as 9560464 + 274576 = 3092^2 + 524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9834994 and 9835012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30575 + ... + 30894.

Almost surely, 29835040 is an apocalyptic number.

It is an amenable number.

9835040 is an abundant number, since it is smaller than the sum of its proper divisors (13400620).

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

9835040 is a wasteful number, since it uses less digits than its factorization.

9835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61484 (or 61476 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 9835040 is about 3136.0867334945. The cubic root of 9835040 is about 214.2522428143.

The spelling of 9835040 in words is "nine million, eight hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 61469 122938 245876 307345 491752 614690 983504 1229380 1967008 2458760 4917520 9835040