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2184084 = 22367107
BaseRepresentation
bin1000010101001110010100
311002222000000
420111032110
51024342314
6114451300
724364410
oct10251624
94088000
102184084
111261a31
12893b30
135b6176
1440bd40
152d2209
hex215394

2184084 has 84 divisors (see below), whose sum is σ = 6610464. Its totient is φ = 618192.

The previous prime is 2184071. The next prime is 2184089. The reversal of 2184084 is 4804812.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2184089) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20359 + ... + 20465.

It is an arithmetic number, because the mean of its divisors is an integer number (78696).

22184084 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 2184084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305232).

2184084 is an abundant number, since it is smaller than the sum of its proper divisors (4426380).

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

2184084 is a wasteful number, since it uses less digits than its factorization.

2184084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2184084 is about 1477.8646758076. The cubic root of 2184084 is about 129.7447456859.

Adding to 2184084 its reverse (4804812), we get a palindrome (6988896).

The spelling of 2184084 in words is "two million, one hundred eighty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 107 108 126 162 189 214 243 252 321 324 378 428 486 567 642 729 749 756 963 972 1134 1284 1458 1498 1701 1926 2247 2268 2889 2916 2996 3402 3852 4494 5103 5778 6741 6804 8667 8988 10206 11556 13482 17334 20223 20412 26001 26964 34668 40446 52002 60669 78003 80892 104004 121338 156006 182007 242676 312012 364014 546021 728028 1092042 2184084