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11479230 = 23257219137
BaseRepresentation
bin101011110010…
…100010111110
3210121012112200
4223302202332
510414313410
61050012330
7166400100
oct53624276
923535480
1011479230
116530574
123a170a6
1324bbc59
14174b570
15101b3c0
hexaf28be

11479230 has 144 divisors (see below), whose sum is σ = 36812880. Its totient is φ = 2467584.

The previous prime is 11479219. The next prime is 11479241. The reversal of 11479230 is 3297411.

It is an interprime number because it is at equal distance from previous prime (11479219) and next prime (11479241).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11479194 and 11479203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83722 + ... + 83858.

It is an arithmetic number, because the mean of its divisors is an integer number (255645).

It is a vampire number, since it can be written as 27934110 (with its own digits).

Almost surely, 211479230 is an apocalyptic number.

11479230 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 11479230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18406440).

11479230 is an abundant number, since it is smaller than the sum of its proper divisors (25333650).

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

11479230 is a wasteful number, since it uses less digits than its factorization.

11479230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

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

The square root of 11479230 is about 3388.1012381569. The cubic root of 11479230 is about 225.5819011812.

The spelling of 11479230 in words is "eleven million, four hundred seventy-nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 137 147 171 190 210 245 266 274 285 294 315 342 399 411 441 490 570 630 665 685 735 798 822 855 882 931 959 1197 1233 1330 1370 1470 1710 1862 1918 1995 2055 2205 2394 2466 2603 2793 2877 3990 4110 4410 4655 4795 5206 5586 5754 5985 6165 6713 7809 8379 8631 9310 9590 11970 12330 13015 13426 13965 14385 15618 16758 17262 18221 20139 23427 26030 27930 28770 33565 36442 39045 40278 41895 43155 46854 54663 60417 67130 78090 83790 86310 91105 100695 109326 117135 120834 127547 163989 182210 201390 234270 255094 273315 302085 327978 382641 546630 604170 637735 765282 819945 1147923 1275470 1639890 1913205 2295846 3826410 5739615 11479230