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20071168 = 281337163
BaseRepresentation
bin100110010010…
…0001100000000
31101202201110121
41030210030000
520114234133
61554110024
7332413345
oct114441400
941681417
1020071168
1110369847
12687b314
134209940
1429467cc
151b6702d
hex1324300

20071168 has 72 divisors (see below), whose sum is σ = 44583728. Its totient is φ = 8957952.

The previous prime is 20071159. The next prime is 20071187. The reversal of 20071168 is 86117002.

It is a super-3 number, since 3×200711683 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123055 + ... + 123217.

Almost surely, 220071168 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 20071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22291864).

20071168 is an abundant number, since it is smaller than the sum of its proper divisors (24512560).

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

20071168 is a wasteful number, since it uses less digits than its factorization.

20071168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 20071168 is about 4480.0857134658. The cubic root of 20071168 is about 271.7633466395.

The spelling of 20071168 in words is "twenty million, seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 163 208 256 296 326 416 481 592 652 832 962 1184 1304 1664 1924 2119 2368 2608 3328 3848 4238 4736 5216 6031 7696 8476 9472 10432 12062 15392 16952 20864 24124 30784 33904 41728 48248 61568 67808 78403 96496 123136 135616 156806 192992 271232 313612 385984 542464 627224 771968 1254448 1543936 2508896 5017792 10035584 20071168