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5290200 = 2332522939
BaseRepresentation
bin10100001011100011011000
3100221202210100
4110023203120
52323241300
6305215400
762652216
oct24134330
910852710
105290200
112a93673
121931560
131132bc6
149b9cb6
156e7700
hex50b8d8

5290200 has 72 divisors (see below), whose sum is σ = 17772300. Its totient is φ = 1410240.

The previous prime is 5290199. The next prime is 5290211. The reversal of 5290200 is 20925.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 331 + ... + 3269.

Almost surely, 25290200 is an apocalyptic number.

5290200 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 5290200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886150).

5290200 is an abundant number, since it is smaller than the sum of its proper divisors (12482100).

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

5290200 is a wasteful number, since it uses less digits than its factorization.

5290200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5290200 is about 2300.0434778499. The cubic root of 5290200 is about 174.2438119918.

The spelling of 5290200 in words is "five million, two hundred ninety thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2939 5878 8817 11756 14695 17634 23512 26451 29390 35268 44085 52902 58780 70536 73475 88170 105804 117560 132255 146950 176340 211608 220425 264510 293900 352680 440850 529020 587800 661275 881700 1058040 1322550 1763400 2645100 5290200