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2112020 = 225105601
BaseRepresentation
bin1000000011101000010100
310222022010222
420003220110
51020041040
6113133512
723644331
oct10035024
93868128
102112020
111212879
1285a298
1358c421
143cd988
152babb5
hex203a14

2112020 has 12 divisors (see below), whose sum is σ = 4435284. Its totient is φ = 844800.

The previous prime is 2112017. The next prime is 2112053. The reversal of 2112020 is 202112.

It can be written as a sum of positive squares in 2 ways, for example, as 1552516 + 559504 = 1246^2 + 748^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2111989 and 2112007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52781 + ... + 52820.

It is an arithmetic number, because the mean of its divisors is an integer number (369607).

22112020 is an apocalyptic number.

2112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112020 is an abundant number, since it is smaller than the sum of its proper divisors (2323264).

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

2112020 is a wasteful number, since it uses less digits than its factorization.

2112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105610 (or 105608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2112020 is about 1453.2790509740. The cubic root of 2112020 is about 128.3017781903.

Adding to 2112020 its reverse (202112), we get a palindrome (2314132).

The spelling of 2112020 in words is "two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 105601 211202 422404 528005 1056010 2112020