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18082064 = 24711131129
BaseRepresentation
bin100010011111…
…0100100010000
31021000122221002
41010332210100
514112111224
61443321132
7306460250
oct104764420
937018832
1018082064
11a230360
1260801a8
133991460
142589960
1518c29ae
hex113e910

18082064 has 80 divisors (see below), whose sum is σ = 47080320. Its totient is φ = 6497280.

The previous prime is 18082019. The next prime is 18082087. The reversal of 18082064 is 46028081.

It is a super-2 number, since 2×180820642 = 653922077000192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15452 + ... + 16580.

It is an arithmetic number, because the mean of its divisors is an integer number (588504).

Almost surely, 218082064 is an apocalyptic number.

18082064 is a gapful number since it is divisible by the number (14) 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 18082064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23540160).

18082064 is an abundant number, since it is smaller than the sum of its proper divisors (28998256).

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

18082064 is a wasteful number, since it uses less digits than its factorization.

18082064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 18082064 is about 4252.3010241515. The cubic root of 18082064 is about 262.4718107295.

The spelling of 18082064 in words is "eighteen million, eighty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1129 1144 1232 1456 2002 2258 2288 4004 4516 7903 8008 9032 12419 14677 15806 16016 18064 24838 29354 31612 49676 58708 63224 86933 99352 102739 117416 126448 161447 173866 198704 205478 234832 322894 347732 410956 645788 695464 821912 1130129 1291576 1390928 1643824 2260258 2583152 4520516 9041032 18082064