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2085928 = 231331647
BaseRepresentation
bin111111101010000101000
310220222100121
413331100220
51013222203
6112413024
723505265
oct7752050
93828317
102085928
1111a5209
12847174
135805a0
143c426c
152b30bd
hex1fd428

2085928 has 32 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 930240.

The previous prime is 2085899. The next prime is 2085929. The reversal of 2085928 is 8295802.

It is a junction number, because it is equal to n+sod(n) for n = 2085893 and 2085902.

It is not an unprimeable number, because it can be changed into a prime (2085929) by changing a digit.

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, 2901 + ... + 3547.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

22085928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280).

2085928 is an abundant number, since it is smaller than the sum of its proper divisors (2268632).

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

2085928 is a wasteful number, since it uses less digits than its factorization.

2085928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 2085928 is about 1444.2742121910. The cubic root of 2085928 is about 127.7712385367.

The spelling of 2085928 in words is "two million, eighty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 647 806 1294 1612 2588 3224 5176 8411 16822 20057 33644 40114 67288 80228 160456 260741 521482 1042964 2085928