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20718018 = 2341953127
BaseRepresentation
bin100111100001…
…0000111000010
31102222120210000
41033002013002
520300434033
62020020430
7341046246
oct117020702
942876700
1020718018
1110770832
126b31716
1343a51a9
142a74426
151c43a13
hex13c21c2

20718018 has 80 divisors (see below), whose sum is σ = 50181120. Its totient is φ = 6368544.

The previous prime is 20718017. The next prime is 20718031. The reversal of 20718018 is 81081702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20717982 and 20718000.

It is not an unprimeable number, because it can be changed into a prime (20718011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163071 + ... + 163197.

It is an arithmetic number, because the mean of its divisors is an integer number (627264).

Almost surely, 220718018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20718018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090560).

20718018 is an abundant number, since it is smaller than the sum of its proper divisors (29463102).

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

20718018 is a wasteful number, since it uses less digits than its factorization.

20718018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 20718018 is about 4551.7049552887. The cubic root of 20718018 is about 274.6519806954.

It can be divided in two parts, 207 and 18018, that added together give a square (18225 = 1352).

The spelling of 20718018 in words is "twenty million, seven hundred eighteen thousand, eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 81 106 114 127 159 162 171 254 318 342 381 477 513 762 954 1007 1026 1143 1431 1539 2014 2286 2413 2862 3021 3078 3429 4293 4826 6042 6731 6858 7239 8586 9063 10287 13462 14478 18126 20193 20574 21717 27189 40386 43434 54378 60579 65151 81567 121158 127889 130302 163134 181737 195453 255778 363474 383667 390906 545211 767334 1090422 1151001 2302002 3453003 6906006 10359009 20718018