Search a number
-
+
14114496 = 2631141163
BaseRepresentation
bin110101110101…
…111011000000
3222120002110010
4311311323000
512103130441
61222304520
7230654064
oct65657300
928502403
1014114496
117a70480
124888140
132c02596
141c35aa4
15138c116
hexd75ec0

14114496 has 112 divisors (see below), whose sum is σ = 41989248. Its totient is φ = 4147200.

The previous prime is 14114461. The next prime is 14114521. The reversal of 14114496 is 69441141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86511 + ... + 86673.

It is an arithmetic number, because the mean of its divisors is an integer number (374904).

Almost surely, 214114496 is an apocalyptic number.

14114496 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 14114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994624).

14114496 is an abundant number, since it is smaller than the sum of its proper divisors (27874752).

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

14114496 is a wasteful number, since it uses less digits than its factorization.

14114496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 14114496 is about 3756.9264033249. The cubic root of 14114496 is about 241.6694711261.

The spelling of 14114496 in words is "fourteen million, one hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 132 163 164 176 192 246 264 326 328 352 451 489 492 528 652 656 704 902 978 984 1056 1304 1312 1353 1793 1804 1956 1968 2112 2608 2624 2706 3586 3608 3912 3936 5216 5379 5412 6683 7172 7216 7824 7872 10432 10758 10824 13366 14344 14432 15648 20049 21516 21648 26732 28688 28864 31296 40098 43032 43296 53464 57376 73513 80196 86064 86592 106928 114752 147026 160392 172128 213856 220539 294052 320784 344256 427712 441078 588104 641568 882156 1176208 1283136 1764312 2352416 3528624 4704832 7057248 14114496