Search a number
-
+
20723168 = 2529137163
BaseRepresentation
bin100111100001…
…1010111100000
31102222211211202
41033003113200
520301120133
62020100332
7341100254
oct117032740
942884752
1020723168
1110774694
126b346a8
1343a763b
142a76264
151c452e8
hex13c35e0

20723168 has 48 divisors (see below), whose sum is σ = 42774480. Its totient is φ = 9870336.

The previous prime is 20723137. The next prime is 20723173. The reversal of 20723168 is 86132702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 20723168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127055 + ... + 127217.

It is an arithmetic number, because the mean of its divisors is an integer number (891135).

Almost surely, 220723168 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 20723168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21387240).

20723168 is an abundant number, since it is smaller than the sum of its proper divisors (22051312).

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

20723168 is a wasteful number, since it uses less digits than its factorization.

20723168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 20723168 is about 4552.2706422180. The cubic root of 20723168 is about 274.6747360979.

The spelling of 20723168 in words is "twenty million, seven hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 137 163 232 274 326 464 548 652 928 1096 1304 2192 2608 3973 4384 4727 5216 7946 9454 15892 18908 22331 31784 37816 44662 63568 75632 89324 127136 151264 178648 357296 647599 714592 1295198 2590396 5180792 10361584 20723168