Search a number
-
+
8004123 = 33521569
BaseRepresentation
bin11110100010001000011011
3120001122121000
4132202020123
54022112443
6443320043
7125014431
oct36421033
916048530
108004123
114577686
122820023
13187328a
1410c4d51
15a818d3
hex7a221b

8004123 has 16 divisors (see below), whose sum is σ = 11901600. Its totient is φ = 5316480.

The previous prime is 8004121. The next prime is 8004133. The reversal of 8004123 is 3214008.

It is a happy number.

It is not a de Polignac number, because 8004123 - 21 = 8004121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8004096 and 8004105.

It is not an unprimeable number, because it can be changed into a prime (8004121) 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 15 ways as a sum of consecutive naturals, for example, 13783 + ... + 14351.

It is an arithmetic number, because the mean of its divisors is an integer number (743850).

Almost surely, 28004123 is an apocalyptic number.

8004123 is a deficient number, since it is larger than the sum of its proper divisors (3897477).

8004123 is a wasteful number, since it uses less digits than its factorization.

8004123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8004123 is about 2829.1558811773. The cubic root of 8004123 is about 200.0343524325.

The spelling of 8004123 in words is "eight million, four thousand, one hundred twenty-three".

Divisors: 1 3 9 27 521 569 1563 1707 4689 5121 14067 15363 296449 889347 2668041 8004123