Search a number
-
+
5676200 = 2352101281
BaseRepresentation
bin10101101001110010101000
3101200101021122
4111221302220
52423114300
6321354412
766150455
oct25516250
911611248
105676200
113227682
121a98a08
1312397ca
14a7a82c
15771c85
hex569ca8

5676200 has 48 divisors (see below), whose sum is σ = 13375260. Its totient is φ = 2240000.

The previous prime is 5676191. The next prime is 5676211. The reversal of 5676200 is 26765.

5676200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4153444 + 1522756 = 2038^2 + 1234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5676200.

It is an unprimeable number.

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, 20060 + ... + 20340.

Almost surely, 25676200 is an apocalyptic number.

5676200 is a gapful number since it is divisible by the number (50) 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 5676200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687630).

5676200 is an abundant number, since it is smaller than the sum of its proper divisors (7699060).

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

5676200 is a wasteful number, since it uses less digits than its factorization.

5676200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 5676200 is about 2382.4777018894. The cubic root of 5676200 is about 178.3826301736.

The spelling of 5676200 in words is "five million, six hundred seventy-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 281 404 505 562 808 1010 1124 1405 2020 2248 2525 2810 4040 5050 5620 7025 10100 11240 14050 20200 28100 28381 56200 56762 113524 141905 227048 283810 567620 709525 1135240 1419050 2838100 5676200