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18133016 = 23111722331
BaseRepresentation
bin100010100101…
…1000000011000
31021010020211012
41011023000120
514120224031
61444353052
7310061636
oct105130030
937106735
1018133016
11a265670
1260a5788
1339ab6c5
1425a0356
1518d2b2b
hex114b018

18133016 has 96 divisors (see below), whose sum is σ = 42439680. Its totient is φ = 7180800.

The previous prime is 18133009. The next prime is 18133019. The reversal of 18133016 is 61033181.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 18132982 and 18133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18133019) 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, 584921 + ... + 584951.

It is an arithmetic number, because the mean of its divisors is an integer number (442080).

Almost surely, 218133016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18133016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21219840).

18133016 is an abundant number, since it is smaller than the sum of its proper divisors (24306664).

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

18133016 is a wasteful number, since it uses less digits than its factorization.

18133016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 18133016 is about 4258.2879188707. The cubic root of 18133016 is about 262.7181122946.

Adding to 18133016 its reverse (61033181), we get a palindrome (79166197).

The spelling of 18133016 in words is "eighteen million, one hundred thirty-three thousand, sixteen".

Divisors: 1 2 4 8 11 17 22 23 31 34 44 46 62 68 88 92 124 136 184 187 248 253 289 341 374 391 506 527 578 682 713 748 782 1012 1054 1156 1364 1426 1496 1564 2024 2108 2312 2728 2852 3128 3179 4216 4301 5704 5797 6358 6647 7843 8602 8959 11594 12121 12716 13294 15686 17204 17918 23188 24242 25432 26588 31372 34408 35836 46376 48484 53176 62744 71672 73117 96968 98549 133331 146234 197098 206057 266662 292468 394196 412114 533324 584936 788392 824228 1066648 1648456 2266627 4533254 9066508 18133016