Search a number
-
+
18045664 = 257136197
BaseRepresentation
bin100010011010…
…1101011100000
31020221210222221
41010311223200
514104430124
61442440424
7306246160
oct104655340
936853887
1018045664
11a205a7a
126063114
13397aa10
14257a5a0
1518b6ce4
hex1135ae0

18045664 has 48 divisors (see below), whose sum is σ = 43733088. Its totient is φ = 7137792.

The previous prime is 18045661. The next prime is 18045667. The reversal of 18045664 is 46654081.

It is an interprime number because it is at equal distance from previous prime (18045661) and next prime (18045667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18045661) 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, 187 + ... + 6010.

It is an arithmetic number, because the mean of its divisors is an integer number (911106).

Almost surely, 218045664 is an apocalyptic number.

18045664 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 18045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21866544).

18045664 is an abundant number, since it is smaller than the sum of its proper divisors (25687424).

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

18045664 is a wasteful number, since it uses less digits than its factorization.

18045664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6227 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 18045664 is about 4248.0188323500. The cubic root of 18045664 is about 262.2955699356.

The spelling of 18045664 in words is "eighteen million, forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 6197 12394 24788 43379 49576 80561 86758 99152 161122 173516 198304 322244 347032 563927 644488 694064 1127854 1288976 1388128 2255708 2577952 4511416 9022832 18045664