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9990057 = 371159733
BaseRepresentation
bin100110000110…
…111110101001
3200210112210010
4212012332221
510024140212
6554042133
7150625350
oct46067651
920715703
109990057
115703750
123419349
1320ba19c
141480997
15d2503c
hex986fa9

9990057 has 32 divisors (see below), whose sum is σ = 16911360. Its totient is φ = 5094720.

The previous prime is 9990047. The next prime is 9990089. The reversal of 9990057 is 7500999.

It is not a de Polignac number, because 9990057 - 212 = 9985961 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 9989997 and 9990024.

It is not an unprimeable number, because it can be changed into a prime (9990017) 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 31 ways as a sum of consecutive naturals, for example, 13263 + ... + 13995.

It is an arithmetic number, because the mean of its divisors is an integer number (528480).

Almost surely, 29990057 is an apocalyptic number.

It is an amenable number.

9990057 is a deficient number, since it is larger than the sum of its proper divisors (6921303).

9990057 is a wasteful number, since it uses less digits than its factorization.

9990057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813.

The product of its (nonzero) digits is 25515, while the sum is 39.

The square root of 9990057 is about 3160.7051428439. The cubic root of 9990057 is about 215.3720401770.

The spelling of 9990057 in words is "nine million, nine hundred ninety thousand, fifty-seven".

Divisors: 1 3 7 11 21 33 59 77 177 231 413 649 733 1239 1947 2199 4543 5131 8063 13629 15393 24189 43247 56441 129741 169323 302729 475717 908187 1427151 3330019 9990057