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14135814 = 23272113147
BaseRepresentation
bin110101111011…
…001000000110
3222121011200200
4311323020012
512104321224
61222551330
7231103200
oct65731006
928534620
1014135814
117a854a0
124898546
132c0c1b4
141c3d770
1513935c9
hexd7b206

14135814 has 144 divisors (see below), whose sum is σ = 40974336. Its totient is φ = 3477600.

The previous prime is 14135773. The next prime is 14135819. The reversal of 14135814 is 41853141.

It is a happy number.

14135814 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 is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14135819) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300739 + ... + 300785.

It is an arithmetic number, because the mean of its divisors is an integer number (284544).

Almost surely, 214135814 is an apocalyptic number.

14135814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14135814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20487168).

14135814 is an abundant number, since it is smaller than the sum of its proper divisors (26838522).

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

14135814 is a wasteful number, since it uses less digits than its factorization.

14135814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 14135814 is about 3759.7624924987. The cubic root of 14135814 is about 241.7910793935.

Adding to 14135814 its reverse (41853141), we get a palindrome (55988955).

It can be divided in two parts, 1413 and 5814, that added together give a palindrome (7227).

The spelling of 14135814 in words is "fourteen million, one hundred thirty-five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 47 49 62 63 66 77 93 94 98 99 126 141 147 154 186 198 217 231 279 282 294 329 341 423 434 441 462 517 539 558 651 658 682 693 846 882 987 1023 1034 1078 1302 1386 1457 1519 1551 1617 1953 1974 2046 2303 2387 2914 2961 3038 3069 3102 3234 3619 3906 4371 4557 4606 4653 4774 4851 5922 6138 6909 7161 7238 8742 9114 9306 9702 10199 10857 13113 13671 13818 14322 16027 16709 20398 20727 21483 21714 25333 26226 27342 30597 32054 32571 33418 41454 42966 48081 50127 50666 61194 65142 71393 75999 91791 96162 100254 112189 142786 144243 150381 151998 183582 214179 224378 227997 288486 300762 336567 428358 455994 642537 673134 785323 1009701 1285074 1570646 2019402 2355969 4711938 7067907 14135814