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986328 = 2332719103
BaseRepresentation
bin11110000110011011000
31212002222200
43300303120
5223030303
633050200
711245410
oct3606330
91762880
10986328
11614052
123b6960
13286c35
141b9640
151473a3
hexf0cd8

986328 has 96 divisors (see below), whose sum is σ = 3244800. Its totient is φ = 264384.

The previous prime is 986287. The next prime is 986333. The reversal of 986328 is 823689.

986328 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 a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 986292 and 986301.

It is a congruent number.

It is an unprimeable number.

986328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9525 + ... + 9627.

It is an arithmetic number, because the mean of its divisors is an integer number (33800).

2986328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622400).

986328 is an abundant number, since it is smaller than the sum of its proper divisors (2258472).

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

986328 is a wasteful number, since it uses less digits than its factorization.

986328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 986328 is about 993.1404734477. The cubic root of 986328 is about 99.5421738173.

The spelling of 986328 in words is "nine hundred eighty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 103 114 126 133 152 168 171 206 228 252 266 309 342 399 412 456 504 532 618 684 721 798 824 927 1064 1197 1236 1368 1442 1596 1854 1957 2163 2394 2472 2884 3192 3708 3914 4326 4788 5768 5871 6489 7416 7828 8652 9576 11742 12978 13699 15656 17304 17613 23484 25956 27398 35226 41097 46968 51912 54796 70452 82194 109592 123291 140904 164388 246582 328776 493164 986328