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18164320 = 2551071061
BaseRepresentation
bin100010101001…
…0101001100000
31021011211202121
41011102221200
514122224240
61445154024
7310252126
oct105225140
937154677
1018164320
11a287139
1260bb914
1339bca25
1425ab916
1518dc04a
hex1152a60

18164320 has 48 divisors (see below), whose sum is σ = 43355088. Its totient is φ = 7191040.

The previous prime is 18164281. The next prime is 18164339. The reversal of 18164320 is 2346181.

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, 16590 + ... + 17650.

It is an arithmetic number, because the mean of its divisors is an integer number (903231).

Almost surely, 218164320 is an apocalyptic number.

18164320 is a gapful number since it is divisible by the number (10) 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 18164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21677544).

18164320 is an abundant number, since it is smaller than the sum of its proper divisors (25190768).

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

18164320 is a wasteful number, since it uses less digits than its factorization.

18164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 18164320 is about 4261.9619895067. The cubic root of 18164320 is about 262.8692068457.

It can be divided in two parts, 181643 and 20, that multiplied together give a triangular number (3632860 = T2695).

The spelling of 18164320 in words is "eighteen million, one hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1061 1070 1712 2122 2140 3424 4244 4280 5305 8488 8560 10610 16976 17120 21220 33952 42440 84880 113527 169760 227054 454108 567635 908216 1135270 1816432 2270540 3632864 4541080 9082160 18164320