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18740232 = 23327192103
BaseRepresentation
bin100011101111…
…1010000001000
31022021002202200
41013133100020
514244141412
61505400200
7315201150
oct107372010
938232680
1018740232
11a63a8a5
126339060
133b61bc4
1426bb760
1519a29dc
hex11df408

18740232 has 144 divisors (see below), whose sum is σ = 61813440. Its totient is φ = 5023296.

The previous prime is 18740231. The next prime is 18740257. The reversal of 18740232 is 23204781.

It is a junction number, because it is equal to n+sod(n) for n = 18740196 and 18740205.

It is not an unprimeable number, because it can be changed into a prime (18740231) 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 35 ways as a sum of consecutive naturals, for example, 181893 + ... + 181995.

It is an arithmetic number, because the mean of its divisors is an integer number (429260).

Almost surely, 218740232 is an apocalyptic number.

18740232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18740232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30906720).

18740232 is an abundant number, since it is smaller than the sum of its proper divisors (43073208).

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

18740232 is a wasteful number, since it uses less digits than its factorization.

18740232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 18740232 is about 4328.9989604988. The cubic root of 18740232 is about 265.6185007314.

The spelling of 18740232 in words is "eighteen million, seven hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 103 114 126 133 152 168 171 206 228 252 266 309 342 361 399 412 456 504 532 618 684 721 722 798 824 927 1064 1083 1197 1236 1368 1442 1444 1596 1854 1957 2163 2166 2394 2472 2527 2884 2888 3192 3249 3708 3914 4326 4332 4788 5054 5768 5871 6489 6498 7416 7581 7828 8652 8664 9576 10108 11742 12978 12996 13699 15162 15656 17304 17613 20216 22743 23484 25956 25992 27398 30324 35226 37183 41097 45486 46968 51912 54796 60648 70452 74366 82194 90972 109592 111549 123291 140904 148732 164388 181944 223098 246582 260281 297464 328776 334647 446196 493164 520562 669294 780843 892392 986328 1041124 1338588 1561686 2082248 2342529 2677176 3123372 4685058 6246744 9370116 18740232