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84300606 = 232131967283
BaseRepresentation
bin1010000011001…
…01001100111110
312212121220200200
411001211030332
5133040104411
612210504330
72042354235
oct501451476
9185556620
1084300606
1143649325
12242950a6
1314607a20
14b2a5b1c
157602e56
hex506533e

84300606 has 96 divisors (see below), whose sum is σ = 210887040. Its totient is φ = 24121152.

The previous prime is 84300577. The next prime is 84300607. The reversal of 84300606 is 60600348.

It is a self number, because there is not a number n which added to its sum of digits gives 84300606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84300607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297741 + ... + 298023.

It is an arithmetic number, because the mean of its divisors is an integer number (2196740).

Almost surely, 284300606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84300606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105443520).

84300606 is an abundant number, since it is smaller than the sum of its proper divisors (126586434).

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

84300606 is a wasteful number, since it uses less digits than its factorization.

84300606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 84300606 is about 9181.5361459834. The cubic root of 84300606 is about 438.4737165309.

The spelling of 84300606 in words is "eighty-four million, three hundred thousand, six hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 67 78 114 117 134 171 201 234 247 283 342 402 494 566 603 741 849 871 1206 1273 1482 1698 1742 2223 2546 2547 2613 3679 3819 4446 5094 5226 5377 7358 7638 7839 10754 11037 11457 15678 16131 16549 18961 22074 22914 32262 33098 33111 37922 48393 49647 56883 66222 69901 96786 99294 113766 139802 148941 170649 209703 246493 297882 341298 360259 419406 492986 629109 720518 739479 1080777 1258218 1478958 2161554 2218437 3242331 4436874 4683367 6484662 9366734 14050101 28100202 42150303 84300606