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2082084 = 2232931193
BaseRepresentation
bin111111100010100100100
310220210002020
413330110210
51013111314
6112343140
723461134
oct7742444
93823066
102082084
1111a2334
12844ab0
1357b904
143c2ac4
152b1da9
hex1fc524

2082084 has 48 divisors (see below), whose sum is σ = 5214720. Its totient is φ = 645120.

The previous prime is 2082079. The next prime is 2082097. The reversal of 2082084 is 4802802.

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 15 ways as a sum of consecutive naturals, for example, 10692 + ... + 10884.

It is an arithmetic number, because the mean of its divisors is an integer number (108640).

22082084 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 2082084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607360).

2082084 is an abundant number, since it is smaller than the sum of its proper divisors (3132636).

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

2082084 is a wasteful number, since it uses less digits than its factorization.

2082084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2082084 is about 1442.9428263102. The cubic root of 2082084 is about 127.6927036028.

Adding to 2082084 its reverse (4802802), we get a palindrome (6884886).

The spelling of 2082084 in words is "two million, eighty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 193 348 372 386 579 772 899 1158 1798 2316 2697 3596 5394 5597 5983 10788 11194 11966 16791 17949 22388 23932 33582 35898 67164 71796 173507 347014 520521 694028 1041042 2082084