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180008020 = 22511817621
BaseRepresentation
bin10101011101010…
…11010001010100
3110112201100120201
422232223101110
5332040224040
625510110244
74314020503
oct1256532124
9415640521
10180008020
1192678765
125034b384
132b3a772a
1419c9a83a
1510c0aa9a
hexabab454

180008020 has 24 divisors (see below), whose sum is σ = 378386568. Its totient is φ = 71932800.

The previous prime is 180008009. The next prime is 180008021. The reversal of 180008020 is 20800081.

It is a happy number.

180008020 is digitally balanced in base 2, 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 90554256 + 89453764 = 9516^2 + 9458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180008021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19810 + ... + 27430.

It is an arithmetic number, because the mean of its divisors is an integer number (15766107).

Almost surely, 2180008020 is an apocalyptic number.

180008020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180008020 is an abundant number, since it is smaller than the sum of its proper divisors (198378548).

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

180008020 is a wasteful number, since it uses less digits than its factorization.

180008020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8809 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 180008020 is about 13416.7067494225. The cubic root of 180008020 is about 564.6300028807.

The spelling of 180008020 in words is "one hundred eighty million, eight thousand, twenty".

Divisors: 1 2 4 5 10 20 1181 2362 4724 5905 7621 11810 15242 23620 30484 38105 76210 152420 9000401 18000802 36001604 45002005 90004010 180008020