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11724390 = 2325177997
BaseRepresentation
bin101100101110…
…011001100110
3211001122211200
4230232121212
511000140030
61055143330
7201440616
oct54563146
924048750
1011724390
116688787
123b14b46
132576712
1417b2a46
151068d60
hexb2e666

11724390 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2875392.

The previous prime is 11724371. The next prime is 11724413. The reversal of 11724390 is 9342711.

It is a super-2 number, since 2×117243902 = 274922641744200, which contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 120822 + ... + 120918.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 211724390 is an apocalyptic number.

11724390 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 11724390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

11724390 is an abundant number, since it is smaller than the sum of its proper divisors (21297690).

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

11724390 is a wasteful number, since it uses less digits than its factorization.

11724390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 11724390 is about 3424.0896600410. The cubic root of 11724390 is about 227.1765075847.

The spelling of 11724390 in words is "eleven million, seven hundred twenty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 79 85 90 97 102 153 158 170 194 237 255 291 306 395 474 485 510 582 711 765 790 873 970 1185 1343 1422 1455 1530 1649 1746 2370 2686 2910 3298 3555 4029 4365 4947 6715 7110 7663 8058 8245 8730 9894 12087 13430 14841 15326 16490 20145 22989 24174 24735 29682 38315 40290 45978 49470 60435 68967 74205 76630 114945 120870 130271 137934 148410 229890 260542 344835 390813 651355 689670 781626 1172439 1302710 1954065 2344878 3908130 5862195 11724390