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18116960 = 255199569
BaseRepresentation
bin100010100011…
…1000101100000
31021002102210112
41011013011200
514114220320
61444150452
7306664061
oct105070540
937072715
1018116960
11a2545a4
126098428
1339a42c4
142598568
1518ccec5
hex1147160

18116960 has 48 divisors (see below), whose sum is σ = 43092000. Its totient is φ = 7197696.

The previous prime is 18116933. The next prime is 18116963. The reversal of 18116960 is 6961181.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18116963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31556 + ... + 32124.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 218116960 is an apocalyptic number.

18116960 is a gapful number since it is divisible by the number (10) 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 18116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21546000).

18116960 is an abundant number, since it is smaller than the sum of its proper divisors (24975040).

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

18116960 is a wasteful number, since it uses less digits than its factorization.

18116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 18116960 is about 4256.4022366313. The cubic root of 18116960 is about 262.6405475616.

The spelling of 18116960 in words is "eighteen million, one hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 199 398 569 796 995 1138 1592 1990 2276 2845 3184 3980 4552 5690 6368 7960 9104 11380 15920 18208 22760 31840 45520 91040 113231 226462 452924 566155 905848 1132310 1811696 2264620 3623392 4529240 9058480 18116960