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10083008 = 261312119
BaseRepresentation
bin100110011101…
…101011000000
3200222021021202
4212131223000
510040124013
61000040332
7151463345
oct46355300
920867252
1010083008
115767571
1234630a8
1321205a0
1414a67cc
15d42858
hex99dac0

10083008 has 28 divisors (see below), whose sum is σ = 21549360. Its totient is φ = 4653312.

The previous prime is 10083001. The next prime is 10083019. The reversal of 10083008 is 80038001.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10083001) 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 3 ways as a sum of consecutive naturals, for example, 5228 + ... + 6891.

It is an arithmetic number, because the mean of its divisors is an integer number (769620).

Almost surely, 210083008 is an apocalyptic number.

It is an amenable number.

10083008 is an abundant number, since it is smaller than the sum of its proper divisors (11466352).

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

10083008 is a wasteful number, since it uses less digits than its factorization.

10083008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12144 (or 12134 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10083008 is about 3175.3752534149. The cubic root of 10083008 is about 216.0379448656.

The spelling of 10083008 in words is "ten million, eighty-three thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 12119 24238 48476 96952 157547 193904 315094 387808 630188 775616 1260376 2520752 5041504 10083008