Search a number
-
+
2187084 = 2231771151
BaseRepresentation
bin1000010101111101001100
311010010010010
420111331030
51024441314
6114513220
724406224
oct10257514
94103103
102187084
111264209
12895810
135b7643
1440d084
152d3059
hex215f4c

2187084 has 48 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 672000.

The previous prime is 2187077. The next prime is 2187103. The reversal of 2187084 is 4807812.

2187084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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, 14409 + ... + 14559.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

22187084 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 2187084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2187084 is an abundant number, since it is smaller than the sum of its proper divisors (3328692).

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

2187084 is a wasteful number, since it uses less digits than its factorization.

2187084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2187084 is about 1478.8793054202. The cubic root of 2187084 is about 129.8041231577.

The spelling of 2187084 in words is "two million, one hundred eighty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 151 204 213 284 302 426 453 604 852 906 1207 1812 2414 2567 3621 4828 5134 7242 7701 10268 10721 14484 15402 21442 30804 32163 42884 64326 128652 182257 364514 546771 729028 1093542 2187084