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18097664 = 29132719
BaseRepresentation
bin100010100001…
…0011000000000
31021001110022212
41011002120000
514113111124
61443521252
7306553604
oct105023000
937043285
1018097664
11a241052
126089228
1339985a0
142591504
1518c740e
hex1142600

18097664 has 40 divisors (see below), whose sum is σ = 38955840. Its totient is φ = 8349696.

The previous prime is 18097637. The next prime is 18097669. The reversal of 18097664 is 46679081.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18097669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5297 + ... + 8015.

It is an arithmetic number, because the mean of its divisors is an integer number (973896).

Almost surely, 218097664 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 18097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477920).

18097664 is an abundant number, since it is smaller than the sum of its proper divisors (20858176).

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

18097664 is an equidigital number, since it uses as much as digits as its factorization.

18097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 18097664 is about 4254.1349296890. The cubic root of 18097664 is about 262.5472700965.

The spelling of 18097664 in words is "eighteen million, ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 2719 3328 5438 6656 10876 21752 35347 43504 70694 87008 141388 174016 282776 348032 565552 696064 1131104 1392128 2262208 4524416 9048832 18097664