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18507690 = 234573313
BaseRepresentation
bin100011010011…
…0011110101010
31021211021210000
41012212132222
514214221230
61500403430
7313212165
oct106463652
937737700
1018507690
11a4a1113
126246576
133ab00c6
14265aadc
151958b60
hex11a67aa

18507690 has 80 divisors (see below), whose sum is σ = 50608008. Its totient is φ = 4852224.

The previous prime is 18507661. The next prime is 18507701. The reversal of 18507690 is 9670581.

It can be written as a sum of positive squares in 4 ways, for example, as 9308601 + 9199089 = 3051^2 + 3033^2 .

It is a super-2 number, since 2×185076902 = 685069178272200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 58974 + ... + 59286.

Almost surely, 218507690 is an apocalyptic number.

18507690 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 18507690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25304004).

18507690 is an abundant number, since it is smaller than the sum of its proper divisors (32100318).

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

18507690 is a wasteful number, since it uses less digits than its factorization.

18507690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 18507690 is about 4302.0564849848. The cubic root of 18507690 is about 264.5152643352.

The spelling of 18507690 in words is "eighteen million, five hundred seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 270 313 365 405 438 626 657 730 810 939 1095 1314 1565 1878 1971 2190 2817 3130 3285 3942 4695 5634 5913 6570 8451 9390 9855 11826 14085 16902 19710 22849 25353 28170 29565 42255 45698 50706 59130 68547 84510 114245 126765 137094 205641 228490 253530 342735 411282 616923 685470 1028205 1233846 1850769 2056410 3084615 3701538 6169230 9253845 18507690