Search a number
-
+
18076736 = 2641832
BaseRepresentation
bin100010011110…
…1010001000000
31021000101121202
41010331101000
514111423421
61443240332
7306435566
oct104752100
937011552
1018076736
11a227357
1260790a8
13398bbc2
142587a36
1518c110b
hex113d440

18076736 has 42 divisors (see below), whose sum is σ = 37193982. Its totient is φ = 8711680.

The previous prime is 18076711. The next prime is 18076741. The reversal of 18076736 is 63767081.

It can be written as a sum of positive squares in only one way, i.e., 11022400 + 7054336 = 3320^2 + 2656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18076736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 217751 + ... + 217833.

It is an arithmetic number, because the mean of its divisors is an integer number (885571).

Almost surely, 218076736 is an apocalyptic number.

18076736 is a gapful number since it is divisible by the number (16) 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 18076736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18596991).

18076736 is an abundant number, since it is smaller than the sum of its proper divisors (19117246).

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

18076736 is an frugal number, since it uses more digits than its factorization.

18076736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 18076736 is about 4251.6744936554. The cubic root of 18076736 is about 262.4460285109.

The spelling of 18076736 in words is "eighteen million, seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 83 164 166 328 332 656 664 1312 1328 2624 2656 3403 5312 6806 6889 13612 13778 27224 27556 54448 55112 108896 110224 217792 220448 282449 440896 564898 1129796 2259592 4519184 9038368 18076736