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990584 = 2373192
BaseRepresentation
bin11110001110101111000
31212022211022
43301311320
5223144314
633122012
711264000
oct3616570
91768738
10990584
11617271
123b9308
13288b5a
141bb000
1514878e
hexf1d78

990584 has 48 divisors (see below), whose sum is σ = 2286000. Its totient is φ = 402192.

The previous prime is 990559. The next prime is 990589. The reversal of 990584 is 485099.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×9905842 = 1962513322112, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 990584.

It is not an unprimeable number, because it can be changed into a prime (990589) by changing a digit.

990584 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 11 ways as a sum of consecutive naturals, for example, 52127 + ... + 52145.

It is an arithmetic number, because the mean of its divisors is an integer number (47625).

2990584 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 990584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143000).

990584 is an abundant number, since it is smaller than the sum of its proper divisors (1295416).

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

990584 is a wasteful number, since it uses less digits than its factorization.

990584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 990584 is about 995.2808648819. The cubic root of 990584 is about 99.6851430246.

The spelling of 990584 in words is "nine hundred ninety thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 343 361 392 532 686 722 931 1064 1372 1444 1862 2527 2744 2888 3724 5054 6517 7448 10108 13034 17689 20216 26068 35378 52136 70756 123823 141512 247646 495292 990584