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14189364 = 223371372
BaseRepresentation
bin110110001000…
…001100110100
3222200220011000
4312020030310
512113024424
61224043300
7231415260
oct66101464
928626130
1014189364
118011752
124903530
132c2a697
141c550a0
1513a43c9
hexd88334

14189364 has 72 divisors (see below), whose sum is σ = 42351680. Its totient is φ = 4024512.

The previous prime is 14189363. The next prime is 14189369. The reversal of 14189364 is 46398141.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14189363) 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, 103504 + ... + 103640.

Almost surely, 214189364 is an apocalyptic number.

14189364 is a gapful number since it is divisible by the number (14) 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 14189364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175840).

14189364 is an abundant number, since it is smaller than the sum of its proper divisors (28162316).

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

14189364 is a wasteful number, since it uses less digits than its factorization.

14189364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 149 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14189364 is about 3766.8772212537. The cubic root of 14189364 is about 242.0960163583.

The spelling of 14189364 in words is "fourteen million, one hundred eighty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 137 189 252 274 378 411 548 756 822 959 1233 1644 1918 2466 2877 3699 3836 4932 5754 7398 8631 11508 14796 17262 18769 25893 34524 37538 51786 56307 75076 103572 112614 131383 168921 225228 262766 337842 394149 506763 525532 675684 788298 1013526 1182447 1576596 2027052 2364894 3547341 4729788 7094682 14189364