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14188284 = 2235111327
BaseRepresentation
bin110110000111…
…111011111100
3222200211200000
4312013323330
512113011114
61224034300
7231412155
oct66077374
928624600
1014188284
118010960
124902990
132c2a046
141c5492c
1513a3e09
hexd87efc

14188284 has 72 divisors (see below), whose sum is σ = 40604928. Its totient is φ = 4296240.

The previous prime is 14188267. The next prime is 14188289. The reversal of 14188284 is 48288141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14188289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10029 + ... + 11355.

Almost surely, 214188284 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 14188284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20302464).

14188284 is an abundant number, since it is smaller than the sum of its proper divisors (26416644).

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

14188284 is a wasteful number, since it uses less digits than its factorization.

14188284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1343 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 14188284 is about 3766.7338637074. The cubic root of 14188284 is about 242.0898739563.

The spelling of 14188284 in words is "fourteen million, one hundred eighty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1327 1782 2654 2673 3564 3981 5308 5346 7962 10692 11943 14597 15924 23886 29194 35829 43791 47772 58388 71658 87582 107487 131373 143316 175164 214974 262746 322461 394119 429948 525492 644922 788238 1182357 1289844 1576476 2364714 3547071 4729428 7094142 14188284