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11821230 = 23251931223
BaseRepresentation
bin101101000110…
…000010101110
3211020120200100
4231012002232
511011234410
61101211530
7202323141
oct55060256
924216610
1011821230
116744513
123b60ba6
1325ab815
1417da058
1510878c0
hexb460ae

11821230 has 96 divisors (see below), whose sum is σ = 33546240. Its totient is φ = 2877120.

The previous prime is 11821223. The next prime is 11821231. The reversal of 11821230 is 3212811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11821231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52899 + ... + 53121.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 211821230 is an apocalyptic number.

11821230 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 11821230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773120).

11821230 is an abundant number, since it is smaller than the sum of its proper divisors (21725010).

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

11821230 is a wasteful number, since it uses less digits than its factorization.

11821230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

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

The square root of 11821230 is about 3438.2015647719. The cubic root of 11821230 is about 227.8002636713.

The spelling of 11821230 in words is "eleven million, eight hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 31 38 45 57 62 90 93 95 114 155 171 186 190 223 279 285 310 342 446 465 558 570 589 669 855 930 1115 1178 1338 1395 1710 1767 2007 2230 2790 2945 3345 3534 4014 4237 5301 5890 6690 6913 8474 8835 10035 10602 12711 13826 17670 20070 20739 21185 25422 26505 34565 38133 41478 42370 53010 62217 63555 69130 76266 103695 124434 127110 131347 190665 207390 262694 311085 381330 394041 622170 656735 788082 1182123 1313470 1970205 2364246 3940410 5910615 11821230