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18020016 = 2433759101
BaseRepresentation
bin100010010111…
…1011010110000
31020220111211000
41010233122300
514103120031
61442122000
7306111330
oct104573260
936814730
1018020016
11a198783
126050300
13396c141
1425710c0
1518ae3e6
hex112f6b0

18020016 has 160 divisors (see below), whose sum is σ = 60710400. Its totient is φ = 5011200.

The previous prime is 18020011. The next prime is 18020027. The reversal of 18020016 is 61002081.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (18020011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178366 + ... + 178466.

It is an arithmetic number, because the mean of its divisors is an integer number (379440).

Almost surely, 218020016 is an apocalyptic number.

18020016 is a gapful number since it is divisible by the number (16) 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 18020016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355200).

18020016 is an abundant number, since it is smaller than the sum of its proper divisors (42690384).

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

18020016 is a wasteful number, since it uses less digits than its factorization.

18020016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 18020016 is about 4244.9989399292. The cubic root of 18020016 is about 262.1712455834.

Adding to 18020016 its reverse (61002081), we get a palindrome (79022097).

The spelling of 18020016 in words is "eighteen million, twenty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 59 63 72 84 101 108 112 118 126 144 168 177 189 202 216 236 252 303 336 354 378 404 413 432 472 504 531 606 707 708 756 808 826 909 944 1008 1062 1212 1239 1414 1416 1512 1593 1616 1652 1818 2121 2124 2424 2478 2727 2828 2832 3024 3186 3304 3636 3717 4242 4248 4848 4956 5454 5656 5959 6363 6372 6608 7272 7434 8484 8496 9912 10908 11151 11312 11918 12726 12744 14544 14868 16968 17877 19089 19824 21816 22302 23836 25452 25488 29736 33936 35754 38178 41713 43632 44604 47672 50904 53631 59472 71508 76356 83426 89208 95344 101808 107262 125139 143016 152712 160893 166852 178416 214524 250278 286032 305424 321786 333704 375417 429048 500556 643572 667408 750834 858096 1001112 1126251 1287144 1501668 2002224 2252502 2574288 3003336 4505004 6006672 9010008 18020016