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14185350 = 23252291087
BaseRepresentation
bin110110000111…
…001110000110
3222200200122100
4312013032012
512112412400
61224012530
7231400464
oct66071606
928620570
1014185350
118009733
124901146
132c288ca
141c53834
1513a3100
hexd87386

14185350 has 72 divisors (see below), whose sum is σ = 39461760. Its totient is φ = 3648960.

The previous prime is 14185333. The next prime is 14185357. The reversal of 14185350 is 5358141.

14185350 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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14185357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12507 + ... + 13593.

It is an arithmetic number, because the mean of its divisors is an integer number (548080).

Almost surely, 214185350 is an apocalyptic number.

14185350 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 14185350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

14185350 is an abundant number, since it is smaller than the sum of its proper divisors (25276410).

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

14185350 is a wasteful number, since it uses less digits than its factorization.

14185350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 14185350 is about 3766.3443814925. The cubic root of 14185350 is about 242.0731855239.

It can be divided in two parts, 14185 and 350, that added together give a triangular number (14535 = T170).

The spelling of 14185350 in words is "fourteen million, one hundred eighty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1087 1305 1450 2174 2175 2610 3261 4350 5435 6522 6525 9783 10870 13050 16305 19566 27175 31523 32610 48915 54350 63046 81525 94569 97830 157615 163050 189138 244575 283707 315230 472845 489150 567414 788075 945690 1418535 1576150 2364225 2837070 4728450 7092675 14185350