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19998168 = 2332959487
BaseRepresentation
bin100110001001…
…0010111011000
31101122000022220
41030102113120
520104420133
61552344040
7331660461
oct114222730
941560286
1019998168
1110319a13
126845020
1341b2648
142927d68
151b505b3
hex13125d8

19998168 has 64 divisors (see below), whose sum is σ = 52704000. Its totient is φ = 6314112.

The previous prime is 19998163. The next prime is 19998169. The reversal of 19998168 is 86189991.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 19998168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19998161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40821 + ... + 41307.

It is an arithmetic number, because the mean of its divisors is an integer number (823500).

Almost surely, 219998168 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 19998168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26352000).

19998168 is an abundant number, since it is smaller than the sum of its proper divisors (32705832).

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

19998168 is a wasteful number, since it uses less digits than its factorization.

19998168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

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

The square root of 19998168 is about 4471.9311264822. The cubic root of 19998168 is about 271.4334733846.

The spelling of 19998168 in words is "nineteen million, nine hundred ninety-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 59 87 116 118 174 177 232 236 348 354 472 487 696 708 974 1416 1461 1711 1948 2922 3422 3896 5133 5844 6844 10266 11688 13688 14123 20532 28246 28733 41064 42369 56492 57466 84738 86199 112984 114932 169476 172398 229864 338952 344796 689592 833257 1666514 2499771 3333028 4999542 6666056 9999084 19998168