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18058968 = 23321943307
BaseRepresentation
bin100010011100…
…0111011011000
31020222111020200
41010320323120
514110341333
61443022200
7306333024
oct104707330
936874220
1018058968
11a214a74
12606a960
133983aa5
142581384
1518bac13
hex1138ed8

18058968 has 96 divisors (see below), whose sum is σ = 52852800. Its totient is φ = 5552064.

The previous prime is 18058961. The next prime is 18058991. The reversal of 18058968 is 86985081.

18058968 is a `hidden beast` number, since 1 + 8 + 0 + 589 + 68 = 666.

It is a super-2 number, since 2×180589682 = 652252650450048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18058961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58671 + ... + 58977.

It is an arithmetic number, because the mean of its divisors is an integer number (550550).

Almost surely, 218058968 is an apocalyptic number.

18058968 is a gapful number since it is divisible by the number (18) 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 18058968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26426400).

18058968 is an abundant number, since it is smaller than the sum of its proper divisors (34793832).

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

18058968 is a wasteful number, since it uses less digits than its factorization.

18058968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 18058968 is about 4249.5844502728. The cubic root of 18058968 is about 262.3600124347.

The spelling of 18058968 in words is "eighteen million, fifty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 43 57 72 76 86 114 129 152 171 172 228 258 307 342 344 387 456 516 614 684 774 817 921 1032 1228 1368 1548 1634 1842 2451 2456 2763 3096 3268 3684 4902 5526 5833 6536 7353 7368 9804 11052 11666 13201 14706 17499 19608 22104 23332 26402 29412 34998 39603 46664 52497 52804 58824 69996 79206 104994 105608 118809 139992 158412 209988 237618 250819 316824 419976 475236 501638 752457 950472 1003276 1504914 2006552 2257371 3009828 4514742 6019656 9029484 18058968