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20717968 = 2417591291
BaseRepresentation
bin100111100001…
…0000110010000
31102222120201011
41033002012100
520300433333
62020020304
7341046145
oct117020620
942876634
1020717968
1110770797
126b31694
1343a516b
142a743cc
151c439cd
hex13c2190

20717968 has 40 divisors (see below), whose sum is σ = 43256160. Its totient is φ = 9576960.

The previous prime is 20717953. The next prime is 20717969. The reversal of 20717968 is 86971702.

It is a self number, because there is not a number n which added to its sum of digits gives 20717968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20717969) 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, 15403 + ... + 16693.

It is an arithmetic number, because the mean of its divisors is an integer number (1081404).

Almost surely, 220717968 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 20717968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21628080).

20717968 is an abundant number, since it is smaller than the sum of its proper divisors (22538192).

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

20717968 is a wasteful number, since it uses less digits than its factorization.

20717968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 20717968 is about 4551.6994628380. The cubic root of 20717968 is about 274.6517597507.

The spelling of 20717968 in words is "twenty million, seven hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 472 944 1003 1291 2006 2582 4012 5164 8024 10328 16048 20656 21947 43894 76169 87788 152338 175576 304676 351152 609352 1218704 1294873 2589746 5179492 10358984 20717968