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5306200 = 235243617
BaseRepresentation
bin10100001111011101011000
3100222120201221
4110033131120
52324244300
6305421424
763046654
oct24173530
910876657
105306200
112aa4699
12193a874
13113a283
149c1a64
156ec31a
hex50f758

5306200 has 48 divisors (see below), whose sum is σ = 12644280. Its totient is φ = 2069760.

The previous prime is 5306183. The next prime is 5306219. The reversal of 5306200 is 26035.

5306200 = T123 + T124 + ... + T322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8292 + ... + 8908.

Almost surely, 25306200 is an apocalyptic number.

5306200 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 5306200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322140).

5306200 is an abundant number, since it is smaller than the sum of its proper divisors (7338080).

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

5306200 is a wasteful number, since it uses less digits than its factorization.

5306200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 5306200 is about 2303.5190470235. The cubic root of 5306200 is about 174.4192996906.

The spelling of 5306200 in words is "five million, three hundred six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 617 860 1075 1234 1720 2150 2468 3085 4300 4936 6170 8600 12340 15425 24680 26531 30850 53062 61700 106124 123400 132655 212248 265310 530620 663275 1061240 1326550 2653100 5306200