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16311968 = 252337599
BaseRepresentation
bin111110001110…
…011010100000
31010200201210222
4332032122200
513133440333
61341342212
7255435521
oct76163240
933621728
1016311968
119231472
125567968
1334c186a
142248848
151673298
hexf8e6a0

16311968 has 48 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 7577856.

The previous prime is 16311943. The next prime is 16312001. The reversal of 16311968 is 86911361.

16311968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 26933 + ... + 27531.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 216311968 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 16311968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

16311968 is an abundant number, since it is smaller than the sum of its proper divisors (18161632).

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

16311968 is a wasteful number, since it uses less digits than its factorization.

16311968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its digits is 7776, while the sum is 35.

The square root of 16311968 is about 4038.8077448673. The cubic root of 16311968 is about 253.6114090274.

The spelling of 16311968 in words is "sixteen million, three hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 37 46 74 92 148 184 296 368 592 599 736 851 1184 1198 1702 2396 3404 4792 6808 9584 13616 13777 19168 22163 27232 27554 44326 55108 88652 110216 177304 220432 354608 440864 509749 709216 1019498 2038996 4077992 8155984 16311968