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180817812 = 223372310399
BaseRepresentation
bin10101100011100…
…00111110010100
3110121020111102000
422301300332110
5332242132222
625535315300
74323632430
oct1261607624
9417214360
10180817812
119308110a
125067bb30
132b5cc1b6
141a02b9c0
1510d1a9ac
hexac70f94

180817812 has 96 divisors (see below), whose sum is σ = 559104000. Its totient is φ = 49411296.

The previous prime is 180817801. The next prime is 180817817. The reversal of 180817812 is 218718081.

180817812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1808178122 = 65390162272934688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180817817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12189 + ... + 22587.

It is an arithmetic number, because the mean of its divisors is an integer number (5824000).

Almost surely, 2180817812 is an apocalyptic number.

180817812 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 180817812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279552000).

180817812 is an abundant number, since it is smaller than the sum of its proper divisors (378286188).

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

180817812 is a wasteful number, since it uses less digits than its factorization.

180817812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10442 (or 10434 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 180817812 is about 13446.8513786685. The cubic root of 180817812 is about 565.4754261849.

The spelling of 180817812 in words is "one hundred eighty million, eight hundred seventeen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 10399 17388 20798 31197 41596 62394 72793 93591 124788 145586 187182 218379 239177 280773 291172 374364 436758 478354 561546 655137 717531 873516 956708 1123092 1310274 1435062 1674239 1965411 2152593 2620548 2870124 3348478 3930822 4305186 5022717 6457779 6696956 7861644 8610372 10045434 12915558 15068151 20090868 25831116 30136302 45204453 60272604 90408906 180817812