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14163968 = 21371319
BaseRepresentation
bin110110000010…
…000000000000
3222122121022102
4312002000000
512111221333
61223325532
7231251240
oct66020000
928577272
1014163968
117aa4665
1248b08a8
132c1bc60
141c49b20
15139bae8
hexd82000

14163968 has 112 divisors (see below), whose sum is σ = 36697920. Its totient is φ = 5308416.

The previous prime is 14163923. The next prime is 14163973. The reversal of 14163968 is 86936141.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745463 + ... + 745481.

It is an arithmetic number, because the mean of its divisors is an integer number (327660).

Almost surely, 214163968 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 14163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18348960).

14163968 is an abundant number, since it is smaller than the sum of its proper divisors (22533952).

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

14163968 is an equidigital number, since it uses as much as digits as its factorization.

14163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 14163968 is about 3763.5047495652. The cubic root of 14163968 is about 241.9514963238.

The spelling of 14163968 in words is "fourteen million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 256 266 304 364 416 448 494 512 532 608 728 832 896 988 1024 1064 1216 1456 1664 1729 1792 1976 2048 2128 2432 2912 3328 3458 3584 3952 4096 4256 4864 5824 6656 6916 7168 7904 8192 8512 9728 11648 13312 13832 14336 15808 17024 19456 23296 26624 27664 28672 31616 34048 38912 46592 53248 55328 57344 63232 68096 77824 93184 106496 110656 126464 136192 155648 186368 221312 252928 272384 372736 442624 505856 544768 745472 885248 1011712 1089536 1770496 2023424 3540992 7081984 14163968