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18114660 = 22325157641
BaseRepresentation
bin100010100011…
…0100001100100
31021002022122100
41011012201210
514114132120
61444132100
7306654264
oct105064144
937068570
1018114660
11a2528a3
126097030
1339a3245
1425977a4
1518cc490
hex1146864

18114660 has 72 divisors (see below), whose sum is σ = 55384056. Its totient is φ = 4792320.

The previous prime is 18114641. The next prime is 18114671. The reversal of 18114660 is 6641181.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 14699556 = 1848^2 + 3834^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27940 + ... + 28580.

It is an arithmetic number, because the mean of its divisors is an integer number (769223).

Almost surely, 218114660 is an apocalyptic number.

18114660 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 18114660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27692028).

18114660 is an abundant number, since it is smaller than the sum of its proper divisors (37269396).

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

18114660 is a wasteful number, since it uses less digits than its factorization.

18114660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18114660 is about 4256.1320468237. The cubic root of 18114660 is about 262.6294327678.

It can be divided in two parts, 181 and 14660, that added together give a palindrome (14841).

The spelling of 18114660 in words is "eighteen million, one hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 641 785 942 1282 1413 1570 1884 1923 2355 2564 2826 3140 3205 3846 4710 5652 5769 6410 7065 7692 9420 9615 11538 12820 14130 19230 23076 28260 28845 38460 57690 100637 115380 201274 301911 402548 503185 603822 905733 1006370 1207644 1509555 1811466 2012740 3019110 3622932 4528665 6038220 9057330 18114660