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2084166 = 2327217139
BaseRepresentation
bin111111100110101000110
310220212221100
413330311012
51013143131
6112400530
723500200
oct7746506
93825840
102084166
1111a3957
12846146
1357c846
143c3770
152b27e6
hex1fcd46

2084166 has 72 divisors (see below), whose sum is σ = 5601960. Its totient is φ = 556416.

The previous prime is 2084141. The next prime is 2084179. The reversal of 2084166 is 6614802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14925 + ... + 15063.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

22084166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800980).

2084166 is an abundant number, since it is smaller than the sum of its proper divisors (3517794).

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

2084166 is a wasteful number, since it uses less digits than its factorization.

2084166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2084166 is about 1443.6640883530. The cubic root of 2084166 is about 127.7352519411.

Adding to 2084166 its reverse (6614802), we get a palindrome (8698968).

The spelling of 2084166 in words is "two million, eighty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 139 147 153 238 278 294 306 357 417 441 714 833 834 882 973 1071 1251 1666 1946 2142 2363 2499 2502 2919 4726 4998 5838 6811 7089 7497 8757 13622 14178 14994 16541 17514 20433 21267 33082 40866 42534 49623 61299 99246 115787 122598 148869 231574 297738 347361 694722 1042083 2084166