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20212420 = 2252934849
BaseRepresentation
bin100110100011…
…0101011000100
31102000220020011
41031012223010
520133244140
62001120004
7333542224
oct115065304
942026204
1020212420
1110455988
126929004
134259017
142982084
151b93cea
hex1346ac4

20212420 has 24 divisors (see below), whose sum is σ = 43911000. Its totient is φ = 7805952.

The previous prime is 20212417. The next prime is 20212421. The reversal of 20212420 is 2421202.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 20196036 = 128^2 + 4494^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20212420.

It is not an unprimeable number, because it can be changed into a prime (20212421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16845 + ... + 18004.

It is an arithmetic number, because the mean of its divisors is an integer number (1829625).

Almost surely, 220212420 is an apocalyptic number.

20212420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212420 is an abundant number, since it is smaller than the sum of its proper divisors (23698580).

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

20212420 is a wasteful number, since it uses less digits than its factorization.

20212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34887 (or 34885 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 20212420 is about 4495.8225053932. The cubic root of 20212420 is about 272.3993736702.

Adding to 20212420 its reverse (2421202), we get a palindrome (22633622).

The spelling of 20212420 in words is "twenty million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 34849 69698 139396 174245 348490 696980 1010621 2021242 4042484 5053105 10106210 20212420