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14119240 = 23523103149
BaseRepresentation
bin110101110111…
…000101001000
3222120022221211
4311313011020
512103303430
61222342504
7231003652
oct65670510
928508854
1014119240
117a73aa3
12488aa34
132c047a5
141c376d2
15138d72a
hexd77148

14119240 has 64 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 5313792.

The previous prime is 14119207. The next prime is 14119241. The reversal of 14119240 is 4291141.

14119240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14119241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94686 + ... + 94834.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 214119240 is an apocalyptic number.

14119240 is a gapful number since it is divisible by the number (10) 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 14119240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

14119240 is an abundant number, since it is smaller than the sum of its proper divisors (19576760).

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

14119240 is a wasteful number, since it uses less digits than its factorization.

14119240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 14119240 is about 3757.5577174543. The cubic root of 14119240 is about 241.6965438025.

The spelling of 14119240 in words is "fourteen million, one hundred nineteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 103 115 149 184 206 230 298 412 460 515 596 745 824 920 1030 1192 1490 2060 2369 2980 3427 4120 4738 5960 6854 9476 11845 13708 15347 17135 18952 23690 27416 30694 34270 47380 61388 68540 76735 94760 122776 137080 153470 306940 352981 613880 705962 1411924 1764905 2823848 3529810 7059620 14119240