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2792106 = 232181857
BaseRepresentation
bin1010101001101010101010
312020212001100
422221222222
51203321411
6135502230
732506152
oct12515252
95225040
102792106
111637829
12b27976
13769b45
14529762
153a2456
hex2a9aaa

2792106 has 24 divisors (see below), whose sum is σ = 6090084. Its totient is φ = 924480.

The previous prime is 2792099. The next prime is 2792123. The reversal of 2792106 is 6012972.

2792106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2772225 + 19881 = 1665^2 + 141^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2792106.

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 11 ways as a sum of consecutive naturals, for example, 2830 + ... + 3686.

22792106 is an apocalyptic number.

2792106 is an abundant number, since it is smaller than the sum of its proper divisors (3297978).

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

2792106 is a wasteful number, since it uses less digits than its factorization.

2792106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2792106 is about 1670.9596045387. The cubic root of 2792106 is about 140.8133943116.

The spelling of 2792106 in words is "two million, seven hundred ninety-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 181 362 543 857 1086 1629 1714 2571 3258 5142 7713 15426 155117 310234 465351 930702 1396053 2792106