Search a number
-
+
2085804 = 223373189
BaseRepresentation
bin111111101001110101100
310220222012000
413331032230
51013221204
6112412300
723505030
oct7751654
93828160
102085804
1111a5106
12847090
13580506
143c41c0
152b3039
hex1fd3ac

2085804 has 96 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 570240.

The previous prime is 2085803. The next prime is 2085823. The reversal of 2085804 is 4085802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23392 + ... + 23480.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

22085804 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 2085804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2085804 is an abundant number, since it is smaller than the sum of its proper divisors (4365396).

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

2085804 is a wasteful number, since it uses less digits than its factorization.

2085804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2085804 is about 1444.2312834169. The cubic root of 2085804 is about 127.7687066584.

The spelling of 2085804 in words is "two million, eighty-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 89 93 108 124 126 178 186 189 217 252 267 279 356 372 378 434 534 558 623 651 756 801 837 868 1068 1116 1246 1302 1602 1674 1869 1953 2403 2492 2604 2759 3204 3348 3738 3906 4806 5518 5607 5859 7476 7812 8277 9612 11036 11214 11718 16554 16821 19313 22428 23436 24831 33108 33642 38626 49662 57939 67284 74493 77252 99324 115878 148986 173817 231756 297972 347634 521451 695268 1042902 2085804