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5686900 = 2252293753
BaseRepresentation
bin10101101100011001110100
3101200220221221
4111230121310
52423440100
6321520124
766223612
oct25543164
911626857
105686900
11323471a
121aa3044
13124163b
14a806b2
1577501a
hex56c674

5686900 has 72 divisors (see below), whose sum is σ = 13358520. Its totient is φ = 2096640.

The previous prime is 5686873. The next prime is 5686921. The reversal of 5686900 is 96865.

It can be written as a sum of positive squares in 12 ways, for example, as 183184 + 5503716 = 428^2 + 2346^2 .

It is a super-2 number, since 2×56869002 = 64681663220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107274 + ... + 107326.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

Almost surely, 25686900 is an apocalyptic number.

5686900 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 5686900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679260).

5686900 is an abundant number, since it is smaller than the sum of its proper divisors (7671620).

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

5686900 is a wasteful number, since it uses less digits than its factorization.

5686900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 5686900 is about 2384.7222060441. The cubic root of 5686900 is about 178.4946473717.

The spelling of 5686900 in words is "five million, six hundred eighty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 53 58 74 100 106 116 145 148 185 212 265 290 370 530 580 725 740 925 1060 1073 1325 1450 1537 1850 1961 2146 2650 2900 3074 3700 3922 4292 5300 5365 6148 7685 7844 9805 10730 15370 19610 21460 26825 30740 38425 39220 49025 53650 56869 76850 98050 107300 113738 153700 196100 227476 284345 568690 1137380 1421725 2843450 5686900