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204072020 = 22537275773
BaseRepresentation
bin11000010100111…
…10010001010100
3112012222221011222
430022132101110
5404220301040
632125545512
75025404105
oct1412362124
9465887158
10204072020
11a5214369
1258415298
1333381899
141d1623ac
1512db0bb5
hexc29e454

204072020 has 24 divisors (see below), whose sum is σ = 440135304. Its totient is φ = 79422336.

The previous prime is 204072019. The next prime is 204072059. The reversal of 204072020 is 20270402.

It can be written as a sum of positive squares in 4 ways, for example, as 27394756 + 176677264 = 5234^2 + 13292^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204072020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137147 + ... + 138626.

It is an arithmetic number, because the mean of its divisors is an integer number (18338971).

Almost surely, 2204072020 is an apocalyptic number.

204072020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204072020 is an abundant number, since it is smaller than the sum of its proper divisors (236063284).

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

204072020 is a wasteful number, since it uses less digits than its factorization.

204072020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275819 (or 275817 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 204072020 is about 14285.3778388953. The cubic root of 204072020 is about 588.7457988380.

The spelling of 204072020 in words is "two hundred four million, seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 275773 551546 1103092 1378865 2757730 5515460 10203601 20407202 40814404 51018005 102036010 204072020