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10083444 = 2237120041
BaseRepresentation
bin100110011101…
…110001110100
3200222021212220
4212131301310
510040132234
61000042340
7151464540
oct46356164
920867786
1010083444
115767928
1234633b0
132120847
1414a6a20
15d42a49
hex99dc74

10083444 has 24 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 2880960.

The previous prime is 10083443. The next prime is 10083449. The reversal of 10083444 is 44438001.

It is a super-2 number, since 2×100834442 = 203351685802272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59937 + ... + 60104.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 210083444 is an apocalyptic number.

10083444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10083444 is an abundant number, since it is smaller than the sum of its proper divisors (16805964).

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

10083444 is a wasteful number, since it uses less digits than its factorization.

10083444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120055 (or 120053 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 10083444 is about 3175.4439059760. The cubic root of 10083444 is about 216.0410587243.

The spelling of 10083444 in words is "ten million, eighty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 120041 240082 360123 480164 720246 840287 1440492 1680574 2520861 3361148 5041722 10083444