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2142020 = 225107101
BaseRepresentation
bin1000001010111101000100
311000211022002
420022331010
51022021040
6113524432
724130646
oct10127504
94024262
102142020
111233371
12873718
1359cc8a
143da896
152c4a15
hex20af44

2142020 has 12 divisors (see below), whose sum is σ = 4498284. Its totient is φ = 856800.

The previous prime is 2142001. The next prime is 2142029. The reversal of 2142020 is 202412.

Adding to 2142020 its reverse (202412), we get a palindrome (2344432).

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 1800964 = 584^2 + 1342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2141992 and 2142010.

It is not an unprimeable number, because it can be changed into a prime (2142029) 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, 53531 + ... + 53570.

It is an arithmetic number, because the mean of its divisors is an integer number (374857).

22142020 is an apocalyptic number.

2142020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142020 is an abundant number, since it is smaller than the sum of its proper divisors (2356264).

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

2142020 is a wasteful number, since it uses less digits than its factorization.

2142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107110 (or 107108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2142020 is about 1463.5641427693. The cubic root of 2142020 is about 128.9064080867.

The spelling of 2142020 in words is "two million, one hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 107101 214202 428404 535505 1071010 2142020