Search a number
-
+
2823128 = 237114583
BaseRepresentation
bin1010110001001111011000
312022102121022
422301033120
51210320003
6140302012
732665460
oct12611730
95272538
102823128
111659070
12b41908
1377acb9
14536ba0
153ab738
hex2b13d8

2823128 has 32 divisors (see below), whose sum is σ = 6600960. Its totient is φ = 1099680.

The previous prime is 2823113. The next prime is 2823133. The reversal of 2823128 is 8213282.

2823128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2823097 and 2823106.

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, 1676 + ... + 2907.

It is an arithmetic number, because the mean of its divisors is an integer number (206280).

22823128 is an apocalyptic number.

2823128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2823128 is an abundant number, since it is smaller than the sum of its proper divisors (3777832).

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

2823128 is a wasteful number, since it uses less digits than its factorization.

2823128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4603 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 2823128 is about 1680.2166526969. The cubic root of 2823128 is about 141.3329822783.

The spelling of 2823128 in words is "two million, eight hundred twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 4583 9166 18332 32081 36664 50413 64162 100826 128324 201652 256648 352891 403304 705782 1411564 2823128