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14718016 = 26417179
BaseRepresentation
bin111000001001…
…010001000000
31000200202022201
4320021101000
512231434031
61243242544
7236046445
oct70112100
930622281
1014718016
118342955
124b19454
1330841b1
141d519cc
15145ad61
hexe09440

14718016 has 56 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 6988800.

The previous prime is 14718013. The next prime is 14718017. The reversal of 14718016 is 61081741.

It is not an unprimeable number, because it can be changed into a prime (14718013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186265 + ... + 186343.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 214718016 is an apocalyptic number.

14718016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14718016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

14718016 is an abundant number, since it is smaller than the sum of its proper divisors (16005824).

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

14718016 is an equidigital number, since it uses as much as digits as its factorization.

14718016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 14718016 is about 3836.4066520639. The cubic root of 14718016 is about 245.0660158074.

Adding to 14718016 its reverse (61081741), we get a palindrome (75799757).

The spelling of 14718016 in words is "fourteen million, seven hundred eighteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 64 71 79 82 142 158 164 284 316 328 568 632 656 1136 1264 1312 2272 2528 2624 2911 3239 4544 5056 5609 5822 6478 11218 11644 12956 22436 23288 25912 44872 46576 51824 89744 93152 103648 179488 186304 207296 229969 358976 459938 919876 1839752 3679504 7359008 14718016