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5379600 = 243524483
BaseRepresentation
bin10100100001011000010000
3101010022102110
4110201120100
52334121400
6311145320
763503652
oct24413020
911108373
105379600
113044856
121975240
1311647c5
14a006d2
15713e50
hex521610

5379600 has 60 divisors (see below), whose sum is σ = 17236496. Its totient is φ = 1434240.

The previous prime is 5379581. The next prime is 5379607. The reversal of 5379600 is 69735.

5379600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5379607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1042 + ... + 3441.

Almost surely, 25379600 is an apocalyptic number.

5379600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5379600 is an abundant number, since it is smaller than the sum of its proper divisors (11856896).

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

5379600 is a wasteful number, since it uses less digits than its factorization.

5379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 5379600 is about 2319.3964732232. The cubic root of 5379600 is about 175.2198597199.

The spelling of 5379600 in words is "five million, three hundred seventy-nine thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 4483 8966 13449 17932 22415 26898 35864 44830 53796 67245 71728 89660 107592 112075 134490 179320 215184 224150 268980 336225 358640 448300 537960 672450 896600 1075920 1344900 1793200 2689800 5379600