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11804130 = 2345131959
BaseRepresentation
bin101101000001…
…110111100010
3211012201020000
4231001313202
511010213010
61101000430
7202222242
oct55016742
924181200
1011804130
116732688
123b53116
1325a3ac0
1417d3b22
1510827c0
hexb41de2

11804130 has 160 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 2706048.

The previous prime is 11804113. The next prime is 11804153. The reversal of 11804130 is 3140811.

11804130 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 Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 200041 + ... + 200099.

It is an arithmetic number, because the mean of its divisors is an integer number (228690).

Almost surely, 211804130 is an apocalyptic number.

11804130 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 11804130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

11804130 is an abundant number, since it is smaller than the sum of its proper divisors (24786270).

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

11804130 is a wasteful number, since it uses less digits than its factorization.

11804130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11804130 is about 3435.7138996139. The cubic root of 11804130 is about 227.6903691761.

Adding to 11804130 its reverse (3140811), we get a palindrome (14944941).

The spelling of 11804130 in words is "eleven million, eight hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 59 65 78 81 90 95 114 117 118 130 135 162 171 177 190 195 234 247 270 285 295 342 351 354 390 405 494 513 531 570 585 590 702 741 767 810 855 885 1026 1053 1062 1121 1170 1235 1482 1534 1539 1593 1710 1755 1770 2106 2223 2242 2301 2470 2565 2655 3078 3186 3363 3510 3705 3835 4446 4602 4779 5130 5265 5310 5605 6669 6726 6903 7410 7670 7695 7965 9558 10089 10530 11115 11210 11505 13338 13806 14573 15390 15930 16815 20007 20178 20709 22230 23010 23895 29146 30267 33345 33630 34515 40014 41418 43719 47790 50445 60534 62127 66690 69030 72865 87438 90801 100035 100890 103545 124254 131157 145730 151335 181602 200070 207090 218595 262314 302670 310635 393471 437190 454005 621270 655785 786942 908010 1180413 1311570 1967355 2360826 3934710 5902065 11804130