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14111790 = 23571141149
BaseRepresentation
bin110101110101…
…010000101110
3222112221201220
4311311100232
512103034130
61222244210
7230643150
oct65652056
928487656
1014111790
117a69440
124886666
132c01294
141c34ad0
15138b410
hexd7542e

14111790 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 2841600.

The previous prime is 14111771. The next prime is 14111803. The reversal of 14111790 is 9711141.

It is a self number, because there is not a number n which added to its sum of digits gives 14111790.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94636 + ... + 94784.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 214111790 is an apocalyptic number.

14111790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14111790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

14111790 is an abundant number, since it is smaller than the sum of its proper divisors (29433810).

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

14111790 is a wasteful number, since it uses less digits than its factorization.

14111790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 14111790 is about 3756.5662512459. The cubic root of 14111790 is about 241.6540260266.

The spelling of 14111790 in words is "fourteen million, one hundred eleven thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 41 42 55 66 70 77 82 105 110 123 149 154 165 205 210 231 246 287 298 330 385 410 447 451 462 574 615 745 770 861 894 902 1043 1155 1230 1353 1435 1490 1639 1722 2086 2235 2255 2310 2706 2870 3129 3157 3278 4305 4470 4510 4917 5215 6109 6258 6314 6765 8195 8610 9471 9834 10430 11473 12218 13530 15645 15785 16390 18327 18942 22946 24585 30545 31290 31570 34419 36654 42763 47355 49170 57365 61090 67199 68838 85526 91635 94710 114730 128289 134398 172095 183270 201597 213815 256578 335995 344190 403194 427630 470393 641445 671990 940786 1007985 1282890 1411179 2015970 2351965 2822358 4703930 7055895 14111790