Search a number
-
+
2105928 = 2332112659
BaseRepresentation
bin1000000010001001001000
310221222210100
420002021020
51014342203
6113045400
723620506
oct10021110
93858710
102105928
111209240
12856860
13589716
143cb676
152b8ea3
hex202248

2105928 has 48 divisors (see below), whose sum is σ = 6224400. Its totient is φ = 637920.

The previous prime is 2105927. The next prime is 2105933. The reversal of 2105928 is 8295012.

2105928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2105921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (129675).

22105928 is an apocalyptic number.

It is an amenable number.

2105928 is an abundant number, since it is smaller than the sum of its proper divisors (4118472).

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

2105928 is a wasteful number, since it uses less digits than its factorization.

2105928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2105928 is about 1451.1815875348. The cubic root of 2105928 is about 128.1782996963.

The spelling of 2105928 in words is "two million, one hundred five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2659 5318 7977 10636 15954 21272 23931 29249 31908 47862 58498 63816 87747 95724 116996 175494 191448 233992 263241 350988 526482 701976 1052964 2105928