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18118368 = 2532531187
BaseRepresentation
bin100010100011…
…1011011100000
31021002111201200
41011013123200
514114241433
61444201200
7310001142
oct105073340
937074650
1018118368
11a255664
126099200
1339a4b38
142598c92
1518cd613
hex11476e0

18118368 has 72 divisors (see below), whose sum is σ = 52540488. Its totient is φ = 5920512.

The previous prime is 18118367. The next prime is 18118469. The reversal of 18118368 is 86381181.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18118361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14671 + ... + 15857.

It is an arithmetic number, because the mean of its divisors is an integer number (729729).

Almost surely, 218118368 is an apocalyptic number.

18118368 is a gapful number since it is divisible by the number (18) 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 18118368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26270244).

18118368 is an abundant number, since it is smaller than the sum of its proper divisors (34422120).

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

18118368 is a wasteful number, since it uses less digits than its factorization.

18118368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1245 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 18118368 is about 4256.5676313199. The cubic root of 18118368 is about 262.6473512842.

The spelling of 18118368 in words is "eighteen million, one hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1187 1272 1696 1908 2374 2544 3561 3816 4748 5088 7122 7632 9496 10683 14244 15264 18992 21366 28488 37984 42732 56976 62911 85464 113952 125822 170928 188733 251644 341856 377466 503288 566199 754932 1006576 1132398 1509864 2013152 2264796 3019728 4529592 6039456 9059184 18118368