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10838984 = 231328017
BaseRepresentation
bin101001010110…
…001111001000
3202101200021212
4221112033020
510233321414
61024152252
7161062352
oct51261710
922350255
1010838984
116133542
123768688
132326700
1416220d2
15e4183e
hexa563c8

10838984 has 24 divisors (see below), whose sum is σ = 22009410. Its totient is φ = 5001984.

The previous prime is 10838981. The next prime is 10839061. The reversal of 10838984 is 48983801.

It can be written as a sum of positive squares in 3 ways, for example, as 5866084 + 4972900 = 2422^2 + 2230^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838981) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2657 + ... + 5360.

Almost surely, 210838984 is an apocalyptic number.

It is an amenable number.

10838984 is an abundant number, since it is smaller than the sum of its proper divisors (11170426).

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

10838984 is a wasteful number, since it uses less digits than its factorization.

10838984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8032 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 10838984 is about 3292.2612290036. The cubic root of 10838984 is about 221.3075303382.

The spelling of 10838984 in words is "ten million, eight hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 8017 16034 32068 64136 104221 208442 416884 833768 1354873 2709746 5419492 10838984