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202052020 = 22599710133
BaseRepresentation
bin11000000101100…
…01000110110100
3112002012022021011
430002301012310
5403211131040
632014402004
75002261642
oct1402610664
9462168234
10202052020
11a4064745
1257800304
1332b25311
141cb98192
1512b123ea
hexc0b11b4

202052020 has 24 divisors (see below), whose sum is σ = 424776744. Its totient is φ = 80731776.

The previous prime is 202052003. The next prime is 202052027. The reversal of 202052020 is 20250202.

202052020 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 4 ways, for example, as 80964004 + 121088016 = 8998^2 + 11004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202052027) 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, 14874 + ... + 25006.

It is an arithmetic number, because the mean of its divisors is an integer number (17699031).

Almost surely, 2202052020 is an apocalyptic number.

202052020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202052020 is an abundant number, since it is smaller than the sum of its proper divisors (222724724).

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

202052020 is a wasteful number, since it uses less digits than its factorization.

202052020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 202052020 is about 14214.5003429596. The cubic root of 202052020 is about 586.7967937644.

The spelling of 202052020 in words is "two hundred two million, fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 997 1994 3988 4985 9970 10133 19940 20266 40532 50665 101330 202660 10102601 20205202 40410404 50513005 101026010 202052020