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18118272 = 273291627
BaseRepresentation
bin100010100011…
…1011010000000
31021002111121010
41011013122000
514114241042
61444200520
7310000644
oct105073200
937074533
1018118272
11a255587
126099140
1339a4a93
142598c24
1518cd59c
hex1147680

18118272 has 64 divisors (see below), whose sum is σ = 49816800. Its totient is φ = 5827584.

The previous prime is 18118253. The next prime is 18118279. The reversal of 18118272 is 27281181.

It is a happy number.

18118272 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (18118279) 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, 10323 + ... + 11949.

Almost surely, 218118272 is an apocalyptic number.

18118272 is a gapful number since it is divisible by the number (12) 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 18118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24908400).

18118272 is an abundant number, since it is smaller than the sum of its proper divisors (31698528).

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

18118272 is a wasteful number, since it uses less digits than its factorization.

18118272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1661 counting only the distinct ones).

The product of its digits is 1792, while the sum is 30.

The square root of 18118272 is about 4256.5563546134. The cubic root of 18118272 is about 262.6468874052.

The spelling of 18118272 in words is "eighteen million, one hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1627 1856 2784 3254 3712 4881 5568 6508 9762 11136 13016 19524 26032 39048 47183 52064 78096 94366 104128 141549 156192 188732 208256 283098 312384 377464 566196 624768 754928 1132392 1509856 2264784 3019712 4529568 6039424 9059136 18118272