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18180144 = 2432191661
BaseRepresentation
bin100010101011…
…0100000110000
31021012122110200
41011112200300
514123231034
61445355200
7310346223
oct105264060
937178420
1018180144
11a298014
126108b00
1339c6ca8
1425b35ba
1518e1a99
hex1156830

18180144 has 60 divisors (see below), whose sum is σ = 51222912. Its totient is φ = 6019200.

The previous prime is 18180077. The next prime is 18180161. The reversal of 18180144 is 44108181.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27174 + ... + 27834.

Almost surely, 218180144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18180144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25611456).

18180144 is an abundant number, since it is smaller than the sum of its proper divisors (33042768).

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

18180144 is a wasteful number, since it uses less digits than its factorization.

18180144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 18180144 is about 4263.8180073732. The cubic root of 18180144 is about 262.9455182630.

The spelling of 18180144 in words is "eighteen million, one hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 661 764 1146 1322 1528 1719 1983 2292 2644 3056 3438 3966 4584 5288 5949 6876 7932 9168 10576 11898 13752 15864 23796 27504 31728 47592 95184 126251 252502 378753 505004 757506 1010008 1136259 1515012 2020016 2272518 3030024 4545036 6060048 9090072 18180144