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5300768 = 25112372
BaseRepresentation
bin10100001110001000100000
3100222022021202
4110032020200
52324111033
6305340332
763025064
oct24161040
910868252
105300768
112aa0600
1219376a8
131137965
149bdaa4
156ea8e8
hex50e220

5300768 has 54 divisors (see below), whose sum is σ = 11789253. Its totient is φ = 2344320.

The previous prime is 5300761. The next prime is 5300773. The reversal of 5300768 is 8670035.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4276624 + 1024144 = 2068^2 + 1012^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1628.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5300768.

It is not an unprimeable number, because it can be changed into a prime (5300761) 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 8 ways as a sum of consecutive naturals, for example, 143246 + ... + 143282.

Almost surely, 25300768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5300768

5300768 is an abundant number, since it is smaller than the sum of its proper divisors (6488485).

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

5300768 is a wasteful number, since it uses less digits than its factorization.

5300768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 5300768 is about 2302.3396795434. The cubic root of 5300768 is about 174.3597612185.

The spelling of 5300768 in words is "five million, three hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 121 148 176 242 296 352 407 484 592 814 968 1184 1369 1628 1936 2738 3256 3872 4477 5476 6512 8954 10952 13024 15059 17908 21904 30118 35816 43808 60236 71632 120472 143264 165649 240944 331298 481888 662596 1325192 2650384 5300768