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9993123 = 327158621
BaseRepresentation
bin100110000111…
…101110100011
3200210200222200
4212013232203
510024234443
6554104243
7150640320
oct46075643
920720880
109993123
115705a88
12341b083
1320bb6ba
141481b47
15d25dd3
hex987ba3

9993123 has 12 divisors (see below), whose sum is σ = 16496688. Its totient is φ = 5710320.

The previous prime is 9993121. The next prime is 9993149. The reversal of 9993123 is 3213999.

It is not a de Polignac number, because 9993123 - 21 = 9993121 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9993121) 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 11 ways as a sum of consecutive naturals, for example, 79248 + ... + 79373.

It is an arithmetic number, because the mean of its divisors is an integer number (1374724).

Almost surely, 29993123 is an apocalyptic number.

9993123 is a deficient number, since it is larger than the sum of its proper divisors (6503565).

9993123 is a wasteful number, since it uses less digits than its factorization.

9993123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158634 (or 158631 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 9993123 is about 3161.1901239881. The cubic root of 9993123 is about 215.3940708532.

The spelling of 9993123 in words is "nine million, nine hundred ninety-three thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 63 158621 475863 1110347 1427589 3331041 9993123