Search a number
-
+
16320200 = 2352136277
BaseRepresentation
bin111110010000…
…011011001000
31010201011002212
4332100123020
513134221300
61341444252
7255501521
oct76203310
933634085
1016320200
119237676
125570688
1334c5530
14224b848
151675935
hexf906c8

16320200 has 48 divisors (see below), whose sum is σ = 40869780. Its totient is φ = 6024960.

The previous prime is 16320191. The next prime is 16320209. The reversal of 16320200 is 202361.

It is an interprime number because it is at equal distance from previous prime (16320191) and next prime (16320209).

It can be written as a sum of positive squares in 6 ways, for example, as 7828804 + 8491396 = 2798^2 + 2914^2 .

It is not an unprimeable number, because it can be changed into a prime (16320209) 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 11 ways as a sum of consecutive naturals, for example, 539 + ... + 5738.

Almost surely, 216320200 is an apocalyptic number.

16320200 is a gapful number since it is divisible by the number (10) 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 16320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20434890).

16320200 is an abundant number, since it is smaller than the sum of its proper divisors (24549580).

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

16320200 is a wasteful number, since it uses less digits than its factorization.

16320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 16320200 is about 4039.8267289576. The cubic root of 16320200 is about 253.6540643755.

Adding to 16320200 its reverse (202361), we get a palindrome (16522561).

The spelling of 16320200 in words is "sixteen million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 6277 12554 25108 31385 50216 62770 81601 125540 156925 163202 251080 313850 326404 408005 627700 652808 816010 1255400 1632020 2040025 3264040 4080050 8160100 16320200