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5680900 = 225256809
BaseRepresentation
bin10101101010111100000100
3101200121201201
4111222330010
52423242100
6321432244
766200251
oct25527404
911617651
105680900
113230165
121a9b684
13123b9a4
14a7c428
1577336a
hex56af04

5680900 has 18 divisors (see below), whose sum is σ = 12327770. Its totient is φ = 2272320.

The previous prime is 5680891. The next prime is 5680901. The reversal of 5680900 is 90865.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 5597956 = 288^2 + 2366^2 .

It is not an unprimeable number, because it can be changed into a prime (5680901) 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 5 ways as a sum of consecutive naturals, for example, 28305 + ... + 28504.

Almost surely, 25680900 is an apocalyptic number.

5680900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5680900 is an abundant number, since it is smaller than the sum of its proper divisors (6646870).

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

5680900 is a wasteful number, since it uses less digits than its factorization.

5680900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56823 (or 56816 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 5680900 is about 2383.4638658893. The cubic root of 5680900 is about 178.4318513112.

The spelling of 5680900 in words is "five million, six hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 56809 113618 227236 284045 568090 1136180 1420225 2840450 5680900