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180027540 = 2232571131419
BaseRepresentation
bin10101011101100…
…00000010010100
3110112202100100200
422232300002110
5332041340130
625510340500
74314131430
oct1256600224
9415670320
10180027540
11926913a0
125035a730
132b3b3594
1419ca39c0
1510c11760
hexabb0094

180027540 has 288 divisors, whose sum is σ = 704471040. Its totient is φ = 36115200.

The previous prime is 180027511. The next prime is 180027577. The reversal of 180027540 is 45720081.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 429451 + ... + 429869.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2180027540 is an apocalyptic number.

180027540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180027540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

180027540 is an abundant number, since it is smaller than the sum of its proper divisors (524443500).

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

180027540 is a wasteful number, since it uses less digits than its factorization.

180027540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 180027540 is about 13417.4341809453. The cubic root of 180027540 is about 564.6504115626.

The spelling of 180027540 in words is "one hundred eighty million, twenty-seven thousand, five hundred forty".