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2072084 = 227431721
BaseRepresentation
bin111111001111000010100
310220021100212
413321320110
51012301314
6112224552
723420030
oct7717024
93807325
102072084
111195873
1283b158
135771b1
143bd1c0
152ade3e
hex1f9e14

2072084 has 24 divisors (see below), whose sum is σ = 4243008. Its totient is φ = 866880.

The previous prime is 2072053. The next prime is 2072087. The reversal of 2072084 is 4802702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344 + ... + 2064.

It is an arithmetic number, because the mean of its divisors is an integer number (176792).

22072084 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 2072084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121504).

2072084 is an abundant number, since it is smaller than the sum of its proper divisors (2170924).

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

2072084 is a wasteful number, since it uses less digits than its factorization.

2072084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2072084 is about 1439.4735148658. The cubic root of 2072084 is about 127.4879445221.

Adding to 2072084 its reverse (4802702), we get a palindrome (6874786).

The spelling of 2072084 in words is "two million, seventy-two thousand, eighty-four".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 1721 3442 6884 12047 24094 48188 74003 148006 296012 518021 1036042 2072084