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18642330 = 23257127233
BaseRepresentation
bin100011100011…
…1010110011010
31022002010110200
41013013112122
514233023310
61503323030
7314312550
oct107072632
938063420
1018642330
11a583293
1262b0476
133b29485
142693bd0
1519839c0
hex11c759a

18642330 has 96 divisors (see below), whose sum is σ = 56070144. Its totient is φ = 4209408.

The previous prime is 18642329. The next prime is 18642343. The reversal of 18642330 is 3324681.

It is a happy number.

18642330 is a `hidden beast` number, since 18 + 642 + 3 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18642294 and 18642303.

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 47 ways as a sum of consecutive naturals, for example, 79894 + ... + 80126.

It is an arithmetic number, because the mean of its divisors is an integer number (584064).

Almost surely, 218642330 is an apocalyptic number.

18642330 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 18642330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28035072).

18642330 is an abundant number, since it is smaller than the sum of its proper divisors (37427814).

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

18642330 is a wasteful number, since it uses less digits than its factorization.

18642330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 18642330 is about 4317.6764584670. The cubic root of 18642330 is about 265.1551482608.

The spelling of 18642330 in words is "eighteen million, six hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 127 210 233 254 315 381 466 630 635 699 762 889 1143 1165 1270 1398 1631 1778 1905 2097 2286 2330 2667 3262 3495 3810 4194 4445 4893 5334 5715 6990 8001 8155 8890 9786 10485 11430 13335 14679 16002 16310 20970 24465 26670 29358 29591 40005 48930 59182 73395 80010 88773 146790 147955 177546 207137 266319 295910 414274 443865 532638 621411 887730 1035685 1242822 1331595 1864233 2071370 2663190 3107055 3728466 6214110 9321165 18642330