Search a number
-
+
14282730 = 2345711229
BaseRepresentation
bin110110011110…
…111111101010
3222212122020000
4312132333222
512124021410
61230043430
7232254420
oct66367752
928778200
1014282730
118075910
124949576
132c61027
141c7b110
1513c1dc0
hexd9efea

14282730 has 160 divisors (see below), whose sum is σ = 48090240. Its totient is φ = 2954880.

The previous prime is 14282677. The next prime is 14282731. The reversal of 14282730 is 3728241.

14282730 = T693 + T694 + ... + T747.

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

It is a junction number, because it is equal to n+sod(n) for n = 14282694 and 14282703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14282731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62256 + ... + 62484.

It is an arithmetic number, because the mean of its divisors is an integer number (300564).

Almost surely, 214282730 is an apocalyptic number.

14282730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14282730 is the 1890-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14282730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24045120).

14282730 is an abundant number, since it is smaller than the sum of its proper divisors (33807510).

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

14282730 is a wasteful number, since it uses less digits than its factorization.

14282730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 14282730 is about 3779.2499255805. The cubic root of 14282730 is about 242.6258531201.

The spelling of 14282730 in words is "fourteen million, two hundred eighty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 81 90 99 105 110 126 135 154 162 165 189 198 210 229 231 270 297 315 330 378 385 405 458 462 495 567 594 630 687 693 770 810 891 945 990 1134 1145 1155 1374 1386 1485 1603 1782 1890 2061 2079 2290 2310 2519 2835 2970 3206 3435 3465 4122 4158 4455 4809 5038 5670 6183 6237 6870 6930 7557 8015 8910 9618 10305 10395 12366 12474 12595 14427 15114 16030 17633 18549 20610 20790 22671 24045 25190 28854 30915 31185 35266 37098 37785 43281 45342 48090 52899 61830 62370 68013 72135 75570 86562 88165 92745 105798 113355 129843 136026 144270 158697 176330 185490 204039 216405 226710 259686 264495 317394 340065 408078 432810 476091 528990 649215 680130 793485 952182 1020195 1298430 1428273 1586970 2040390 2380455 2856546 4760910 7141365 14282730