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2187090 = 2325191279
BaseRepresentation
bin1000010101111101010010
311010010010100
420111331102
51024441330
6114513230
724406233
oct10257522
94103110
102187090
111264214
12895816
135b7649
1440d08a
152d3060
hex215f52

2187090 has 48 divisors (see below), whose sum is σ = 5990400. Its totient is φ = 552096.

The previous prime is 2187077. The next prime is 2187103. The reversal of 2187090 is 907812.

2187090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2187077) and next prime (2187103).

It is an alternating number because its digits alternate between even and odd.

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 23 ways as a sum of consecutive naturals, for example, 1071 + ... + 2349.

It is an arithmetic number, because the mean of its divisors is an integer number (124800).

22187090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995200).

2187090 is an abundant number, since it is smaller than the sum of its proper divisors (3803310).

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

2187090 is a wasteful number, since it uses less digits than its factorization.

2187090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2187090 is about 1478.8813339819. The cubic root of 2187090 is about 129.8042418583.

The spelling of 2187090 in words is "two million, one hundred eighty-seven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1279 1710 2558 3837 6395 7674 11511 12790 19185 23022 24301 38370 48602 57555 72903 115110 121505 145806 218709 243010 364515 437418 729030 1093545 2187090