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14016744 = 23327229137
BaseRepresentation
bin110101011110…
…000011101000
3222101010100200
4311132003220
512042013434
61220232200
7230066100
oct65360350
928333320
1014016744
117a03a95
12483b660
132b99c41
141c0c200
15136d199
hexd5e0e8

14016744 has 144 divisors (see below), whose sum is σ = 46016100. Its totient is φ = 3838464.

The previous prime is 14016727. The next prime is 14016767. The reversal of 14016744 is 44761041.

14016744 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13972644 + 44100 = 3738^2 + 210^2 .

It is a super-2 number, since 2×140167442 = 392938224723072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102244 + ... + 102380.

Almost surely, 214016744 is an apocalyptic number.

14016744 is a gapful number since it is divisible by the number (14) 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 14016744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23008050).

14016744 is an abundant number, since it is smaller than the sum of its proper divisors (31999356).

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

14016744 is a wasteful number, since it uses less digits than its factorization.

14016744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14016744 is about 3743.8942292752. The cubic root of 14016744 is about 241.1102724756.

Adding to 14016744 its reverse (44761041), we get a palindrome (58777785).

The spelling of 14016744 in words is "fourteen million, sixteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 137 147 168 174 196 203 232 252 261 274 294 348 392 406 411 441 504 522 548 588 609 696 812 822 882 959 1044 1096 1176 1218 1233 1421 1624 1644 1764 1827 1918 2088 2436 2466 2842 2877 3288 3528 3654 3836 3973 4263 4872 4932 5684 5754 6713 7308 7672 7946 8526 8631 9864 11368 11508 11919 12789 13426 14616 15892 17052 17262 20139 23016 23838 25578 26852 27811 31784 34104 34524 35757 40278 47676 51156 53704 55622 60417 69048 71514 80556 83433 95352 102312 111244 120834 143028 161112 166866 194677 222488 241668 250299 286056 333732 389354 483336 500598 584031 667464 778708 1001196 1168062 1557416 1752093 2002392 2336124 3504186 4672248 7008372 14016744