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18012064 = 257191421
BaseRepresentation
bin100010010110…
…1011110100000
31020220002220111
41010231132200
514102341224
61442021104
7306046210
oct104553640
936802814
1018012064
11a192804
126047794
133968635
14256c240
1518abd94
hex112d7a0

18012064 has 48 divisors (see below), whose sum is σ = 40836096. Its totient is φ = 7660800.

The previous prime is 18012047. The next prime is 18012067. The reversal of 18012064 is 46021081.

It is not an unprimeable number, because it can be changed into a prime (18012067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42574 + ... + 42994.

It is an arithmetic number, because the mean of its divisors is an integer number (850752).

Almost surely, 218012064 is an apocalyptic number.

18012064 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 18012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20418048).

18012064 is an abundant number, since it is smaller than the sum of its proper divisors (22824032).

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

18012064 is a wasteful number, since it uses less digits than its factorization.

18012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 18012064 is about 4244.0622050107. The cubic root of 18012064 is about 262.1326756494.

The spelling of 18012064 in words is "eighteen million, twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 191 224 382 421 764 842 1337 1528 1684 2674 2947 3056 3368 5348 5894 6112 6736 10696 11788 13472 21392 23576 42784 47152 80411 94304 160822 321644 562877 643288 1125754 1286576 2251508 2573152 4503016 9006032 18012064