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5300784 = 2432131281
BaseRepresentation
bin10100001110001000110000
3100222022022100
4110032020300
52324111114
6305340400
763025116
oct24161060
910868270
105300784
112aa0615
121937700
131137978
149bdab6
156ea909
hex50e230

5300784 has 60 divisors (see below), whose sum is σ = 15001272. Its totient is φ = 1747200.

The previous prime is 5300777. The next prime is 5300803. The reversal of 5300784 is 4870035.

It is a super-2 number, since 2×53007842 = 56196622029312, which contains 22 as substring.

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, 18724 + ... + 19004.

Almost surely, 25300784 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 5300784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500636).

5300784 is an abundant number, since it is smaller than the sum of its proper divisors (9700488).

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

5300784 is a wasteful number, since it uses less digits than its factorization.

5300784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5300784 is about 2302.3431542670. The cubic root of 5300784 is about 174.3599366492.

It can be divided in two parts, 5300 and 784, that added together give a square (6084 = 782).

The spelling of 5300784 in words is "five million, three hundred thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 281 393 524 562 786 843 1048 1124 1179 1572 1686 2096 2248 2358 2529 3144 3372 4496 4716 5058 6288 6744 9432 10116 13488 18864 20232 36811 40464 73622 110433 147244 220866 294488 331299 441732 588976 662598 883464 1325196 1766928 2650392 5300784