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180809028 = 223273107643
BaseRepresentation
bin10101100011011…
…10110101000100
3110121020001100200
422301232311010
5332241342103
625535210500
74323565011
oct1261566504
9417201320
10180809028
1193075554
1250676a30
132b5c81ba
141a028708
1510d180a3
hexac6ed44

180809028 has 72 divisors (see below), whose sum is σ = 468363168. Its totient is φ = 58796928.

The previous prime is 180809021. The next prime is 180809029. The reversal of 180809028 is 820908081.

180809028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 180808983 and 180809001.

It is not an unprimeable number, because it can be changed into a prime (180809021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280875 + ... + 281517.

It is an arithmetic number, because the mean of its divisors is an integer number (6505044).

Almost surely, 2180809028 is an apocalyptic number.

180809028 is a gapful number since it is divisible by the number (18) 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 180809028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234181584).

180809028 is an abundant number, since it is smaller than the sum of its proper divisors (287554140).

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

180809028 is a wasteful number, since it uses less digits than its factorization.

180809028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 180809028 is about 13446.5247554898. The cubic root of 180809028 is about 565.4662692393.

The spelling of 180809028 in words is "one hundred eighty million, eight hundred nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 107 146 214 219 292 321 428 438 642 643 657 876 963 1284 1286 1314 1926 1929 2572 2628 3852 3858 5787 7716 7811 11574 15622 23148 23433 31244 46866 46939 68801 70299 93732 93878 137602 140598 140817 187756 206403 275204 281196 281634 412806 422451 563268 619209 825612 844902 1238418 1689804 2476836 5022473 10044946 15067419 20089892 30134838 45202257 60269676 90404514 180809028