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20181618 = 23217101653
BaseRepresentation
bin100110011111…
…1001001110010
31101222022222100
41030333021302
520131302433
62000321230
7333353352
oct114771162
941868870
1020181618
1110434826
126913216
134247cb2
142974b62
151b89b13
hex133f272

20181618 has 48 divisors (see below), whose sum is σ = 46829016. Its totient is φ = 6259200.

The previous prime is 20181583. The next prime is 20181619. The reversal of 20181618 is 81618102.

It can be written as a sum of positive squares in 4 ways, for example, as 20007729 + 173889 = 4473^2 + 417^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20181591 and 20181600.

It is not an unprimeable number, because it can be changed into a prime (20181619) 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, 30580 + ... + 31232.

Almost surely, 220181618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20181618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23414508).

20181618 is an abundant number, since it is smaller than the sum of its proper divisors (26647398).

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

20181618 is a wasteful number, since it uses less digits than its factorization.

20181618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 20181618 is about 4492.3955747463. The cubic root of 20181618 is about 272.2609322032.

The spelling of 20181618 in words is "twenty million, one hundred eighty-one thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 653 909 1306 1717 1818 1959 3434 3918 5151 5877 10302 11101 11754 15453 22202 30906 33303 65953 66606 99909 131906 197859 199818 395718 593577 1121201 1187154 2242402 3363603 6727206 10090809 20181618