Search a number
-
+
12828035 = 5111791303
BaseRepresentation
bin110000111011…
…110110000011
3220010201202102
4300323312003
511240444120
61134541015
7214015343
oct60736603
926121672
1012828035
117271990
12436776b
132871b6c
1419bcd23
1511d5d75
hexc3bd83

12828035 has 16 divisors (see below), whose sum is σ = 16899840. Its totient is φ = 9270240.

The previous prime is 12828031. The next prime is 12828037. The reversal of 12828035 is 53082821.

It is not a de Polignac number, because 12828035 - 22 = 12828031 is a prime.

It is a super-2 number, since 2×128280352 = 329116963922450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12827989 and 12828007.

It is not an unprimeable number, because it can be changed into a prime (12828031) 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 15 ways as a sum of consecutive naturals, for example, 9194 + ... + 10496.

It is an arithmetic number, because the mean of its divisors is an integer number (1056240).

Almost surely, 212828035 is an apocalyptic number.

12828035 is a deficient number, since it is larger than the sum of its proper divisors (4071805).

12828035 is a wasteful number, since it uses less digits than its factorization.

12828035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 12828035 is about 3581.6246313649. The cubic root of 12828035 is about 234.0920754361.

The spelling of 12828035 in words is "twelve million, eight hundred twenty-eight thousand, thirty-five".

Divisors: 1 5 11 55 179 895 1303 1969 6515 9845 14333 71665 233237 1166185 2565607 12828035