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18016830 = 2345132959
BaseRepresentation
bin100010010111…
…0101000111110
31020220100110000
41010232220332
514103014310
61442055130
7306066126
oct104565076
936810400
1018016830
11a196347
12604a4a6
13396a860
14256dc86
1518ad4c0
hex112ea3e

18016830 has 160 divisors (see below), whose sum is σ = 54885600. Its totient is φ = 4209408.

The previous prime is 18016829. The next prime is 18016837. The reversal of 18016830 is 3861081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18016794 and 18016803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18016837) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 305341 + ... + 305399.

It is an arithmetic number, because the mean of its divisors is an integer number (343035).

Almost surely, 218016830 is an apocalyptic number.

18016830 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 18016830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27442800).

18016830 is an abundant number, since it is smaller than the sum of its proper divisors (36868770).

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

18016830 is a wasteful number, since it uses less digits than its factorization.

18016830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18016830 is about 4244.6236582293. The cubic root of 18016830 is about 262.1557937507.

The spelling of 18016830 in words is "eighteen million, sixteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 29 30 39 45 54 58 59 65 78 81 87 90 117 118 130 135 145 162 174 177 195 234 261 270 290 295 351 354 377 390 405 435 522 531 585 590 702 754 767 783 810 870 885 1053 1062 1131 1170 1305 1534 1566 1593 1711 1755 1770 1885 2106 2262 2301 2349 2610 2655 3186 3393 3422 3510 3770 3835 3915 4602 4698 4779 5133 5265 5310 5655 6786 6903 7670 7830 7965 8555 9558 10179 10266 10530 11310 11505 11745 13806 15399 15930 16965 17110 20358 20709 22243 23010 23490 23895 25665 30537 30798 33930 34515 41418 44486 46197 47790 50895 51330 61074 62127 66729 69030 76995 92394 101790 103545 111215 124254 133458 138591 152685 153990 200187 207090 222430 230985 277182 305370 310635 333645 400374 461970 600561 621270 667290 692955 1000935 1201122 1385910 1801683 2001870 3002805 3603366 6005610 9008415 18016830