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202120420 = 22510106021
BaseRepresentation
bin11000000110000…
…01110011100100
3112002022210002111
430003001303210
5403220323140
632020050404
75002665235
oct1403016344
9462283074
10202120420
11a4101077
1257833a04
1332b4a4a8
141cbb508c
1512b277ea
hexc0c1ce4

202120420 has 12 divisors (see below), whose sum is σ = 424452924. Its totient is φ = 80848160.

The previous prime is 202120417. The next prime is 202120421. The reversal of 202120420 is 24021202.

202120420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 148888804 + 53231616 = 12202^2 + 7296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 202120420.

It is not an unprimeable number, because it can be changed into a prime (202120421) 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 3 ways as a sum of consecutive naturals, for example, 5052991 + ... + 5053030.

It is an arithmetic number, because the mean of its divisors is an integer number (35371077).

Almost surely, 2202120420 is an apocalyptic number.

202120420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120420 is an abundant number, since it is smaller than the sum of its proper divisors (222332504).

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

202120420 is a wasteful number, since it uses less digits than its factorization.

202120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106030 (or 10106028 counting only the distinct ones).

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

The square root of 202120420 is about 14216.9061331923. The cubic root of 202120420 is about 586.8630017512.

Adding to 202120420 its reverse (24021202), we get a palindrome (226141622).

The spelling of 202120420 in words is "two hundred two million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 10106021 20212042 40424084 50530105 101060210 202120420