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2180384 = 25611117
BaseRepresentation
bin1000010100010100100000
311002202220222
420110110200
51024233014
6114422212
724350543
oct10242440
94082828
102180384
11125a178
12891968
135b458b
1440a85a
152d108e
hex214520

2180384 has 24 divisors (see below), whose sum is σ = 4366908. Its totient is φ = 1071360.

The previous prime is 2180371. The next prime is 2180389. The reversal of 2180384 is 4830812.

2180384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1507984 + 672400 = 1228^2 + 820^2 .

It is not an unprimeable number, because it can be changed into a prime (2180389) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1394 + ... + 2510.

22180384 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 2180384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183454).

2180384 is an abundant number, since it is smaller than the sum of its proper divisors (2186524).

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

2180384 is a wasteful number, since it uses less digits than its factorization.

2180384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2180384 is about 1476.6123391060. The cubic root of 2180384 is about 129.6714385393.

The spelling of 2180384 in words is "two million, one hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1117 1952 2234 4468 8936 17872 35744 68137 136274 272548 545096 1090192 2180384