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14141088 = 2533131259
BaseRepresentation
bin110101111100…
…011010100000
3222121102221000
4311330122200
512110003323
61223032000
7231124443
oct65743240
928542830
1014141088
117a89455
12489b600
132c11710
141c4165a
151394e43
hexd7c6a0

14141088 has 96 divisors (see below), whose sum is σ = 44452800. Its totient is φ = 4347648.

The previous prime is 14141077. The next prime is 14141117. The reversal of 14141088 is 88014141.

14141088 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 tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10603 + ... + 11861.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 214141088 is an apocalyptic number.

14141088 is a gapful number since it is divisible by the number (18) 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 14141088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226400).

14141088 is an abundant number, since it is smaller than the sum of its proper divisors (30311712).

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

14141088 is a wasteful number, since it uses less digits than its factorization.

14141088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 14141088 is about 3760.4638011820. The cubic root of 14141088 is about 241.8211459935.

The spelling of 14141088 in words is "fourteen million, one hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1259 1404 1872 2518 2808 3744 3777 5036 5616 7554 10072 11232 11331 15108 16367 20144 22662 30216 32734 33993 40288 45324 49101 60432 65468 67986 90648 98202 120864 130936 135972 147303 181296 196404 261872 271944 294606 362592 392808 441909 523744 543888 589212 785616 883818 1087776 1178424 1571232 1767636 2356848 3535272 4713696 7070544 14141088