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180540820 = 22520534397
BaseRepresentation
bin10101100001011…
…01010110010100
3110120201102110001
422300231112110
5332204301240
625525341044
74321400035
oct1260552624
9416642401
10180540820
1192a01a99
1250567784
132b5330b5
1419d98a8c
1510cb389a
hexac2d594

180540820 has 24 divisors (see below), whose sum is σ = 379406664. Its totient is φ = 72164736.

The previous prime is 180540817. The next prime is 180540851. The reversal of 180540820 is 28045081.

It can be written as a sum of positive squares in 4 ways, for example, as 17825284 + 162715536 = 4222^2 + 12756^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38862 + ... + 43258.

It is an arithmetic number, because the mean of its divisors is an integer number (15808611).

Almost surely, 2180540820 is an apocalyptic number.

180540820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180540820 is an abundant number, since it is smaller than the sum of its proper divisors (198865844).

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

180540820 is a wasteful number, since it uses less digits than its factorization.

180540820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 180540820 is about 13436.5479197597. The cubic root of 180540820 is about 565.1865309401.

The spelling of 180540820 in words is "one hundred eighty million, five hundred forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 2053 4106 4397 8212 8794 10265 17588 20530 21985 41060 43970 87940 9027041 18054082 36108164 45135205 90270410 180540820