Search a number
-
+
16530304 = 27719971
BaseRepresentation
bin111111000011…
…101110000000
31011002211022111
4333003232000
513212432204
61350145104
7260335210
oct77035600
934084274
1016530304
11937050a
125652194
13356a05b
1422a4240
1516b7d04
hexfc3b80

16530304 has 64 divisors (see below), whose sum is σ = 39657600. Its totient is φ = 6704640.

The previous prime is 16530301. The next prime is 16530317. The reversal of 16530304 is 40303561.

16530304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16530301) 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, 16539 + ... + 17509.

It is an arithmetic number, because the mean of its divisors is an integer number (619650).

Almost surely, 216530304 is an apocalyptic number.

16530304 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 16530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828800).

16530304 is an abundant number, since it is smaller than the sum of its proper divisors (23127296).

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

16530304 is an equidigital number, since it uses as much as digits as its factorization.

16530304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 16530304 is about 4065.7476557209. The cubic root of 16530304 is about 254.7379288829.

Adding to 16530304 its reverse (40303561), we get a palindrome (56833865).

The spelling of 16530304 in words is "sixteen million, five hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 971 1064 1216 1942 2128 2432 3884 4256 6797 7768 8512 13594 15536 17024 18449 27188 31072 36898 54376 62144 73796 108752 124288 129143 147592 217504 258286 295184 435008 516572 590368 870016 1033144 1180736 2066288 2361472 4132576 8265152 16530304