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9830128 = 2471179101
BaseRepresentation
bin100101011111…
…111011110000
3200111102101211
4211133323300
510004031003
6550405504
7146361160
oct45377360
920442354
109830128
115604580
123360894
132062459
14143c5a0
15ce296d
hex95fef0

9830128 has 80 divisors (see below), whose sum is σ = 24284160. Its totient is φ = 3744000.

The previous prime is 9830113. The next prime is 9830141. The reversal of 9830128 is 8210389.

It is a self number, because there is not a number n which added to its sum of digits gives 9830128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97278 + ... + 97378.

It is an arithmetic number, because the mean of its divisors is an integer number (303552).

Almost surely, 29830128 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 9830128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).

9830128 is an abundant number, since it is smaller than the sum of its proper divisors (14454032).

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

9830128 is a wasteful number, since it uses less digits than its factorization.

9830128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 9830128 is about 3135.3034940816. The cubic root of 9830128 is about 214.2165682511.

The spelling of 9830128 in words is "nine million, eight hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 79 88 101 112 154 158 176 202 308 316 404 553 616 632 707 808 869 1106 1111 1232 1264 1414 1616 1738 2212 2222 2828 3476 4424 4444 5656 6083 6952 7777 7979 8848 8888 11312 12166 13904 15554 15958 17776 24332 31108 31916 48664 55853 62216 63832 87769 97328 111706 124432 127664 175538 223412 351076 446824 614383 702152 893648 1228766 1404304 2457532 4915064 9830128