Search a number
-
+
2880006 = 233712973
BaseRepresentation
bin1010111111001000000110
312102022121220
422333020012
51214130011
6141421210
733323343
oct12771006
95368556
102880006
111697878
12b6a806
1379ab5c
1454d7ca
153bd506
hex2bf206

2880006 has 16 divisors (see below), whose sum is σ = 5916144. Its totient is φ = 933984.

The previous prime is 2879999. The next prime is 2880029. The reversal of 2880006 is 6000882.

2880006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6265 + ... + 6708.

It is an arithmetic number, because the mean of its divisors is an integer number (369759).

22880006 is an apocalyptic number.

2880006 is an abundant number, since it is smaller than the sum of its proper divisors (3036138).

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

2880006 is a wasteful number, since it uses less digits than its factorization.

2880006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13015.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2880006 is about 1697.0580426137. The cubic root of 2880006 is about 142.2758309821.

Adding to 2880006 its reverse (6000882), we get a palindrome (8880888).

It can be divided in two parts, 288000 and 6, that multiplied together give a cube (1728000 = 1203).

The spelling of 2880006 in words is "two million, eight hundred eighty thousand, six".

Divisors: 1 2 3 6 37 74 111 222 12973 25946 38919 77838 480001 960002 1440003 2880006