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5660200 = 2352713311
BaseRepresentation
bin10101100101111000101000
3101122120100001
4111211320220
52422111300
6321152344
766053020
oct25457050
911576301
105660200
113216657
121a8b6b4
131232440
14a74a80
1576c16a
hex565e28

5660200 has 96 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1785600.

The previous prime is 5660189. The next prime is 5660203. The reversal of 5660200 is 20665.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5660203) 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 23 ways as a sum of consecutive naturals, for example, 18045 + ... + 18355.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 25660200 is an apocalyptic number.

5660200 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 5660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

5660200 is an abundant number, since it is smaller than the sum of its proper divisors (10588760).

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

5660200 is a wasteful number, since it uses less digits than its factorization.

5660200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 5660200 is about 2379.1174834379. The cubic root of 5660200 is about 178.2148648839.

Adding to 5660200 its reverse (20665), we get a palindrome (5680865).

The spelling of 5660200 in words is "five million, six hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 311 325 350 364 455 520 622 650 700 728 910 1244 1300 1400 1555 1820 2177 2275 2488 2600 3110 3640 4043 4354 4550 6220 7775 8086 8708 9100 10885 12440 15550 16172 17416 18200 20215 21770 28301 31100 32344 40430 43540 54425 56602 62200 80860 87080 101075 108850 113204 141505 161720 202150 217700 226408 283010 404300 435400 566020 707525 808600 1132040 1415050 2830100 5660200