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18027864 = 23323141197
BaseRepresentation
bin100010011000…
…1010101011000
31020220220120200
41010301111120
514103342424
61442222200
7306143241
oct104612530
936826520
1018027864
11a1a3668
126054960
13397289a
142573cc8
1518b18c9
hex1131558

18027864 has 96 divisors (see below), whose sum is σ = 51891840. Its totient is φ = 5644800.

The previous prime is 18027859. The next prime is 18027869. The reversal of 18027864 is 46872081.

It is an interprime number because it is at equal distance from previous prime (18027859) and next prime (18027869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18027869) 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, 91414 + ... + 91610.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 218027864 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 18027864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920).

18027864 is an abundant number, since it is smaller than the sum of its proper divisors (33863976).

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

18027864 is a wasteful number, since it uses less digits than its factorization.

18027864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 18027864 is about 4245.9232211617. The cubic root of 18027864 is about 262.2092999580.

The spelling of 18027864 in words is "eighteen million, twenty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 41 62 72 82 93 123 124 164 186 197 246 248 279 328 369 372 394 492 558 591 738 744 788 984 1116 1182 1271 1476 1576 1773 2232 2364 2542 2952 3546 3813 4728 5084 6107 7092 7626 8077 10168 11439 12214 14184 15252 16154 18321 22878 24231 24428 30504 32308 36642 45756 48462 48856 54963 64616 72693 73284 91512 96924 109926 145386 146568 193848 219852 250387 290772 439704 500774 581544 751161 1001548 1502322 2003096 2253483 3004644 4506966 6009288 9013932 18027864