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14115384 = 233553137
BaseRepresentation
bin110101110110…
…001000111000
3222120010200000
4311312020320
512103143014
61222313000
7230656503
oct65661070
928503600
1014115384
117a71108
124888760
132c02aca
141c3613a
15138c509
hexd76238

14115384 has 96 divisors (see below), whose sum is σ = 40687920. Its totient is φ = 4582656.

The previous prime is 14115379. The next prime is 14115397. The reversal of 14115384 is 48351141.

It is a happy number.

14115384 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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102964 + ... + 103100.

Almost surely, 214115384 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 14115384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343960).

14115384 is an abundant number, since it is smaller than the sum of its proper divisors (26572536).

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

14115384 is a wasteful number, since it uses less digits than its factorization.

14115384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

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

The square root of 14115384 is about 3757.0445831797. The cubic root of 14115384 is about 241.6745391543.

The spelling of 14115384 in words is "fourteen million, one hundred fifteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 137 159 162 212 216 243 274 318 324 411 424 477 486 548 636 648 822 954 972 1096 1233 1272 1431 1644 1908 1944 2466 2862 3288 3699 3816 4293 4932 5724 7261 7398 8586 9864 11097 11448 12879 14522 14796 17172 21783 22194 25758 29044 29592 33291 34344 43566 44388 51516 58088 65349 66582 87132 88776 103032 130698 133164 174264 196047 261396 266328 392094 522792 588141 784188 1176282 1568376 1764423 2352564 3528846 4705128 7057692 14115384