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9828390 = 23511132979
BaseRepresentation
bin100101011111…
…100000100110
3200111100000110
4211133200212
510004002030
6550353450
7146353125
oct45374046
920440013
109828390
115603240
12335b886
132061720
14143babc
15ce21b0
hex95f826

9828390 has 128 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 2096640.

The previous prime is 9828367. The next prime is 9828391. The reversal of 9828390 is 938289.

9828390 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9828391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124371 + ... + 124449.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 29828390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9828390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

9828390 is an abundant number, since it is smaller than the sum of its proper divisors (19202010).

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

9828390 is a wasteful number, since it uses less digits than its factorization.

9828390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 9828390 is about 3135.0263156790. The cubic root of 9828390 is about 214.2039427682.

The spelling of 9828390 in words is "nine million, eight hundred twenty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 29 30 33 39 55 58 65 66 78 79 87 110 130 143 145 158 165 174 195 237 286 290 319 330 377 390 395 429 435 474 638 715 754 790 858 869 870 957 1027 1131 1185 1430 1595 1738 1885 1914 2054 2145 2262 2291 2370 2607 3081 3190 3770 4147 4290 4345 4582 4785 5135 5214 5655 6162 6873 8294 8690 9570 10270 11297 11310 11455 12441 13035 13746 15405 20735 22594 22910 24882 25201 26070 29783 30810 33891 34365 41470 50402 56485 59566 62205 67782 68730 75603 89349 112970 124410 126005 148915 151206 169455 178698 252010 297830 327613 338910 378015 446745 655226 756030 893490 982839 1638065 1965678 3276130 4914195 9828390