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18533130 = 23571171113
BaseRepresentation
bin100011010110…
…0101100001010
31021212120200020
41012230230022
514221030010
61501121310
7313346310
oct106545412
937776606
1018533130
11a509240
126259236
133abb865
1426660b0
151961470
hex11acb0a

18533130 has 128 divisors (see below), whose sum is σ = 56733696. Its totient is φ = 3763200.

The previous prime is 18533089. The next prime is 18533143. The reversal of 18533130 is 3133581.

It is a self number, because there is not a number n which added to its sum of digits gives 18533130.

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 63 ways as a sum of consecutive naturals, for example, 163954 + ... + 164066.

It is an arithmetic number, because the mean of its divisors is an integer number (443232).

Almost surely, 218533130 is an apocalyptic number.

18533130 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 18533130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28366848).

18533130 is an abundant number, since it is smaller than the sum of its proper divisors (38200566).

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

18533130 is a wasteful number, since it uses less digits than its factorization.

18533130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 18533130 is about 4305.0121951047. The cubic root of 18533130 is about 264.6364065452.

The spelling of 18533130 in words is "eighteen million, five hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 71 77 105 110 113 142 154 165 210 213 226 231 330 339 355 385 426 462 497 565 678 710 770 781 791 994 1065 1130 1155 1243 1491 1562 1582 1695 2130 2310 2343 2373 2485 2486 2982 3390 3729 3905 3955 4686 4746 4970 5467 6215 7455 7458 7810 7910 8023 8701 10934 11715 11865 12430 14910 16046 16401 17402 18645 23430 23730 24069 26103 27335 32802 37290 40115 43505 48138 52206 54670 56161 80230 82005 87010 88253 112322 120345 130515 164010 168483 176506 240690 261030 264759 280805 336966 441265 529518 561610 617771 842415 882530 1235542 1323795 1684830 1853313 2647590 3088855 3706626 6177710 9266565 18533130