Search a number
-
+
18208064 = 26797419
BaseRepresentation
bin100010101110…
…1010101000000
31021021001202202
41011131111000
514130124224
61450132332
7310523510
oct105352500
937231682
1018208064
11a306a96
1261210a8
133a06904
1425bd840
1518e9eae
hex115d540

18208064 has 56 divisors (see below), whose sum is σ = 41818560. Its totient is φ = 7704576.

The previous prime is 18208063. The next prime is 18208079. The reversal of 18208064 is 46080281.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18208063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43247 + ... + 43665.

It is an arithmetic number, because the mean of its divisors is an integer number (746760).

Almost surely, 218208064 is an apocalyptic number.

18208064 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 18208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20909280).

18208064 is an abundant number, since it is smaller than the sum of its proper divisors (23610496).

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

18208064 is an equidigital number, since it uses as much as digits as its factorization.

18208064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

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

The square root of 18208064 is about 4267.0908122514. The cubic root of 18208064 is about 263.0800548558.

The spelling of 18208064 in words is "eighteen million, two hundred eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 419 448 679 776 838 1358 1552 1676 2716 2933 3104 3352 5432 5866 6208 6704 10864 11732 13408 21728 23464 26816 40643 43456 46928 81286 93856 162572 187712 284501 325144 569002 650288 1138004 1300576 2276008 2601152 4552016 9104032 18208064