Search a number
-
+
5680100 = 225279719
BaseRepresentation
bin10101101010101111100100
3101200120122002
4111222233210
52423230400
6321424432
766165026
oct25525744
911616562
105680100
11322a5a8
121a9b118
13123b50a
14a7c016
15772ed5
hex56abe4

5680100 has 36 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 2240160.

The previous prime is 5680097. The next prime is 5680111. The reversal of 5680100 is 10865.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7541 + ... + 8259.

It is an arithmetic number, because the mean of its divisors is an integer number (347200).

Almost surely, 25680100 is an apocalyptic number.

5680100 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 5680100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

5680100 is an abundant number, since it is smaller than the sum of its proper divisors (6819100).

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

5680100 is a wasteful number, since it uses less digits than its factorization.

5680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 5680100 is about 2383.2960370042. The cubic root of 5680100 is about 178.4234751630.

Adding to 5680100 its reverse (10865), we get a palindrome (5690965).

The spelling of 5680100 in words is "five million, six hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 719 790 1438 1580 1975 2876 3595 3950 7190 7900 14380 17975 35950 56801 71900 113602 227204 284005 568010 1136020 1420025 2840050 5680100