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5368600 = 2352171579
BaseRepresentation
bin10100011110101100011000
3101002202100001
4110132230120
52333243400
6311022344
763426616
oct24365430
911082301
105368600
113037566
12196a9b4
13115c7b3
149da6b6
15710a6a
hex51eb18

5368600 has 48 divisors (see below), whose sum is σ = 13224600. Its totient is φ = 2019840.

The previous prime is 5368579. The next prime is 5368607. The reversal of 5368600 is 68635.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5368607) 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 11 ways as a sum of consecutive naturals, for example, 2611 + ... + 4189.

Almost surely, 25368600 is an apocalyptic number.

5368600 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 5368600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612300).

5368600 is an abundant number, since it is smaller than the sum of its proper divisors (7856000).

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

5368600 is a wasteful number, since it uses less digits than its factorization.

5368600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 5368600 is about 2317.0239532642. The cubic root of 5368600 is about 175.1003506080.

The spelling of 5368600 in words is "five million, three hundred sixty-eight 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 1579 1700 3158 3400 6316 7895 12632 15790 26843 31580 39475 53686 63160 78950 107372 134215 157900 214744 268430 315800 536860 671075 1073720 1342150 2684300 5368600