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2042020 = 225102101
BaseRepresentation
bin111110010100010100100
310211202010101
413302202210
51010321040
6111433444
723233261
oct7624244
93752111
102042020
111175222
12825884
135665c6
143b2268
152a509a
hex1f28a4

2042020 has 12 divisors (see below), whose sum is σ = 4288284. Its totient is φ = 816800.

The previous prime is 2042017. The next prime is 2042021. The reversal of 2042020 is 202402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 362404 + 1679616 = 602^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2041988 and 2042006.

It is not an unprimeable number, because it can be changed into a prime (2042021) 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, 51031 + ... + 51070.

It is an arithmetic number, because the mean of its divisors is an integer number (357357).

22042020 is an apocalyptic number.

2042020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042020 is an abundant number, since it is smaller than the sum of its proper divisors (2246264).

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

2042020 is a wasteful number, since it uses less digits than its factorization.

2042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102110 (or 102108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2042020 is about 1428.9926521854. The cubic root of 2042020 is about 126.8683613374.

Adding to 2042020 its reverse (202402), we get a palindrome (2244422).

The spelling of 2042020 in words is "two million, forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 102101 204202 408404 510505 1021010 2042020