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9884106 = 234173797
BaseRepresentation
bin100101101101…
…000111001010
3200121011110000
4211231013022
510012242411
6551503430
7150004431
oct45550712
920534400
109884106
115641091
123387b76
132080bab
141454118
15d03956
hex96d1ca

9884106 has 80 divisors (see below), whose sum is σ = 24332616. Its totient is φ = 2985984.

The previous prime is 9884057. The next prime is 9884107. The reversal of 9884106 is 6014889.

It is a happy number.

9884106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9865881 + 18225 = 3141^2 + 135^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9884107) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101850 + ... + 101946.

Almost surely, 29884106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9884106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166308).

9884106 is an abundant number, since it is smaller than the sum of its proper divisors (14448510).

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

9884106 is a wasteful number, since it uses less digits than its factorization.

9884106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9884106 is about 3143.8998075638. The cubic root of 9884106 is about 214.6079460588.

The spelling of 9884106 in words is "nine million, eight hundred eighty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 97 102 111 153 162 194 222 291 306 333 459 582 629 666 873 918 999 1258 1377 1649 1746 1887 1998 2619 2754 2997 3298 3589 3774 4947 5238 5661 5994 7178 7857 9894 10767 11322 14841 15714 16983 21534 29682 32301 33966 44523 50949 61013 64602 89046 96903 101898 122026 133569 183039 193806 267138 290709 366078 549117 581418 1098234 1647351 3294702 4942053 9884106