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18108144 = 2433167251
BaseRepresentation
bin100010100010…
…0111011110000
31021001222201000
41011010323300
514113430034
61444042000
7306626265
oct105047360
937058630
1018108144
11a248a0a
126093300
1339a02a2
14259526c
1518ca599
hex1144ef0

18108144 has 80 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 5976000.

The previous prime is 18108131. The next prime is 18108149. The reversal of 18108144 is 44180181.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18108149) 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 15 ways as a sum of consecutive naturals, for example, 72019 + ... + 72269.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 218108144 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 18108144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

18108144 is an abundant number, since it is smaller than the sum of its proper divisors (34388496).

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

18108144 is a wasteful number, since it uses less digits than its factorization.

18108144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

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

The square root of 18108144 is about 4255.3664942047. The cubic root of 18108144 is about 262.5979389646.

The spelling of 18108144 in words is "eighteen million, one hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 167 216 251 334 432 501 502 668 753 1002 1004 1336 1503 1506 2004 2008 2259 2672 3006 3012 4008 4016 4509 4518 6012 6024 6777 8016 9018 9036 12024 12048 13554 18036 18072 24048 27108 36072 36144 41917 54216 72144 83834 108432 125751 167668 251502 335336 377253 503004 670672 754506 1006008 1131759 1509012 2012016 2263518 3018024 4527036 6036048 9054072 18108144