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18054144 = 21033653
BaseRepresentation
bin100010011011…
…1110000000000
31020222020122000
41010313300000
514110213034
61442544000
7306312663
oct104676000
936866560
1018054144
11a211389
126068000
133981834
14257d6da
1518b9599
hex1137c00

18054144 has 88 divisors (see below), whose sum is σ = 53549520. Its totient is φ = 6008832.

The previous prime is 18054137. The next prime is 18054163. The reversal of 18054144 is 44145081.

It is a happy number.

18054144 is a `hidden beast` number, since 1 + 80 + 541 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27322 + ... + 27974.

Almost surely, 218054144 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 18054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26774760).

18054144 is an abundant number, since it is smaller than the sum of its proper divisors (35495376).

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

18054144 is an equidigital number, since it uses as much as digits as its factorization.

18054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 18054144 is about 4249.0168274555. The cubic root of 18054144 is about 262.3366493904.

The spelling of 18054144 in words is "eighteen million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 653 768 864 1024 1152 1306 1536 1728 1959 2304 2612 3072 3456 3918 4608 5224 5877 6912 7836 9216 10448 11754 13824 15672 17631 20896 23508 27648 31344 35262 41792 47016 62688 70524 83584 94032 125376 141048 167168 188064 250752 282096 334336 376128 501504 564192 668672 752256 1003008 1128384 1504512 2006016 2256768 3009024 4513536 6018048 9027072 18054144