Search a number
-
+
16998198 = 23721719179
BaseRepresentation
bin100000011010…
…1111100110110
31011222121010220
41000311330312
513322420243
61404155210
7264324300
oct100657466
934877126
1016998198
11965aaa8
125838b06
1336a2009
142386970
15175b783
hex1035f36

16998198 has 96 divisors (see below), whose sum is σ = 44323200. Its totient is φ = 4306176.

The previous prime is 16998197. The next prime is 16998211. The reversal of 16998198 is 89189961.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 16998198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16998197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94873 + ... + 95051.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 216998198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16998198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161600).

16998198 is an abundant number, since it is smaller than the sum of its proper divisors (27325002).

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

16998198 is a wasteful number, since it uses less digits than its factorization.

16998198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its digits is 279936, while the sum is 51.

The square root of 16998198 is about 4122.8870952283. The cubic root of 16998198 is about 257.1190735498.

The spelling of 16998198 in words is "sixteen million, nine hundred ninety-eight thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 49 51 57 98 102 114 119 133 147 179 238 266 294 323 357 358 399 537 646 714 798 833 931 969 1074 1253 1666 1862 1938 2261 2499 2506 2793 3043 3401 3759 4522 4998 5586 6086 6783 6802 7518 8771 9129 10203 13566 15827 17542 18258 20406 21301 23807 26313 31654 42602 47481 47614 52626 57817 63903 71421 94962 115634 127806 142842 149107 166649 173451 298214 333298 346902 404719 447321 499947 809438 894642 999894 1214157 2428314 2833033 5666066 8499099 16998198