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18133830 = 232511131409
BaseRepresentation
bin100010100101…
…1001101000110
31021010021221100
41011023031012
514120240310
61444400530
7310064211
oct105131506
937107840
1018133830
11a266240
1260a6146
1339abba0
1425a0778
1518d2ec0
hex114b346

18133830 has 96 divisors (see below), whose sum is σ = 55429920. Its totient is φ = 4055040.

The previous prime is 18133813. The next prime is 18133877. The reversal of 18133830 is 3833181.

It is a junction number, because it is equal to n+sod(n) for n = 18133794 and 18133803.

It is a congruent number.

It is an unprimeable number.

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, 12166 + ... + 13574.

It is an arithmetic number, because the mean of its divisors is an integer number (577395).

Almost surely, 218133830 is an apocalyptic number.

18133830 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 18133830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27714960).

18133830 is an abundant number, since it is smaller than the sum of its proper divisors (37296090).

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

18133830 is a wasteful number, since it uses less digits than its factorization.

18133830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 18133830 is about 4258.3834961168. The cubic root of 18133830 is about 262.7220434175.

The spelling of 18133830 in words is "eighteen million, one hundred thirty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1409 1430 2145 2574 2818 4227 4290 6435 7045 8454 12681 12870 14090 15499 18317 21135 25362 30998 36634 42270 46497 54951 63405 77495 91585 92994 109902 126810 139491 154990 164853 183170 201487 232485 274755 278982 329706 402974 464970 549510 604461 697455 824265 1007435 1208922 1394910 1648530 1813383 2014870 3022305 3626766 6044610 9066915 18133830