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5300600 = 2352171559
BaseRepresentation
bin10100001110000101111000
3100222022001112
4110032011320
52324104400
6305335452
763024434
oct24160570
910868045
105300600
112aa0468
121937588
131137866
149bd9c4
156ea835
hex50e178

5300600 has 48 divisors (see below), whose sum is σ = 13057200. Its totient is φ = 1994240.

The previous prime is 5300587. The next prime is 5300621. The reversal of 5300600 is 60035.

It is a happy number.

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, 2621 + ... + 4179.

It is an arithmetic number, because the mean of its divisors is an integer number (272025).

Almost surely, 25300600 is an apocalyptic number.

5300600 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 5300600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528600).

5300600 is an abundant number, since it is smaller than the sum of its proper divisors (7756600).

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

5300600 is a wasteful number, since it uses less digits than its factorization.

5300600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 5300600 is about 2302.3031946292. The cubic root of 5300600 is about 174.3579191741.

Adding to 5300600 its reverse (60035), we get a palindrome (5360635).

The spelling of 5300600 in words is "five million, three hundred thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1559 1700 3118 3400 6236 7795 12472 15590 26503 31180 38975 53006 62360 77950 106012 132515 155900 212024 265030 311800 530060 662575 1060120 1325150 2650300 5300600