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20005168 = 243153761
BaseRepresentation
bin100110001010…
…0000100110000
31101122100221011
41030110010300
520110131133
61552440304
7332020051
oct114240460
941570834
1020005168
11103241a7
126849094
1341b58a1
14292a728
151b526cd
hex1314130

20005168 has 40 divisors (see below), whose sum is σ = 40818816. Its totient is φ = 9484800.

The previous prime is 20005163. The next prime is 20005177. The reversal of 20005168 is 86150002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20005163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25908 + ... + 26668.

Almost surely, 220005168 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 20005168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409408).

20005168 is an abundant number, since it is smaller than the sum of its proper divisors (20813648).

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

20005168 is a wasteful number, since it uses less digits than its factorization.

20005168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 20005168 is about 4472.7137176439. The cubic root of 20005168 is about 271.4651398297.

The spelling of 20005168 in words is "twenty million, five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 31 53 62 106 124 212 248 424 496 761 848 1522 1643 3044 3286 6088 6572 12176 13144 23591 26288 40333 47182 80666 94364 161332 188728 322664 377456 645328 1250323 2500646 5001292 10002584 20005168