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18264064 = 2127313
BaseRepresentation
bin100010110101…
…1000000000000
31021100220120211
41011223000000
514133422224
61451243504
7311146000
oct105530000
937326524
1018264064
11a345075
126149594
133a26250
1425d6000
15190b894
hex116b000

18264064 has 104 divisors (see below), whose sum is σ = 45869600. Its totient is φ = 7225344.

The previous prime is 18264041. The next prime is 18264101. The reversal of 18264064 is 46046281.

It is a tau number, because it is divible by the number of its divisors (104).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1404922 + ... + 1404934.

Almost surely, 218264064 is an apocalyptic number.

18264064 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 18264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934800).

18264064 is an abundant number, since it is smaller than the sum of its proper divisors (27605536).

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

18264064 is an frugal number, since it uses more digits than its factorization.

18264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 18264064 is about 4273.6476223479. The cubic root of 18264064 is about 263.3494850247.

It can be divided in two parts, 182 and 64064, that added together give a palindrome (64246).

The spelling of 18264064 in words is "eighteen million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 343 364 392 416 448 512 637 686 728 784 832 896 1024 1274 1372 1456 1568 1664 1792 2048 2548 2744 2912 3136 3328 3584 4096 4459 5096 5488 5824 6272 6656 7168 8918 10192 10976 11648 12544 13312 14336 17836 20384 21952 23296 25088 26624 28672 35672 40768 43904 46592 50176 53248 71344 81536 87808 93184 100352 142688 163072 175616 186368 200704 285376 326144 351232 372736 570752 652288 702464 1141504 1304576 1404928 2283008 2609152 4566016 9132032 18264064