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180475812 = 223211538599
BaseRepresentation
bin10101100000111…
…01011110100100
3110120121010021100
422300131132210
5332200211222
625524120100
74321006356
oct1260353644
9416533240
10180475812
1192968170
1250536030
132b50c62a
1419d7d0d6
1510c9e4ac
hexac1d7a4

180475812 has 72 divisors (see below), whose sum is σ = 507124800. Its totient is φ = 53651520.

The previous prime is 180475807. The next prime is 180475829. The reversal of 180475812 is 218574081.

180475812 is a `hidden beast` number, since 180 + 475 + 8 + 1 + 2 = 666.

180475812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16689 + ... + 25287.

It is an arithmetic number, because the mean of its divisors is an integer number (7043400).

Almost surely, 2180475812 is an apocalyptic number.

180475812 is a gapful number since it is divisible by the number (12) 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 180475812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253562400).

180475812 is an abundant number, since it is smaller than the sum of its proper divisors (326648988).

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

180475812 is a wasteful number, since it uses less digits than its factorization.

180475812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8673 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 180475812 is about 13434.1286282364. The cubic root of 180475812 is about 565.1186865291.

The spelling of 180475812 in words is "one hundred eighty million, four hundred seventy-five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 318 396 477 583 636 954 1166 1749 1908 2332 3498 5247 6996 8599 10494 17198 20988 25797 34396 51594 77391 94589 103188 154782 189178 283767 309564 378356 455747 567534 851301 911494 1135068 1367241 1702602 1822988 2734482 3405204 4101723 5013217 5468964 8203446 10026434 15039651 16406892 20052868 30079302 45118953 60158604 90237906 180475812