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8230016 = 27113569
BaseRepresentation
bin11111011001010010000000
3120111010110102
4133121102000
54101330031
6452221532
7126645134
oct37312200
916433412
108230016
114711373
12290a8a8
131922042
1411433c4
15ac87cb
hex7d9480

8230016 has 32 divisors (see below), whose sum is σ = 16569900. Its totient is φ = 4071424.

The previous prime is 8230003. The next prime is 8230037. The reversal of 8230016 is 6100328.

It can be written as a sum of positive squares in 2 ways, for example, as 6270016 + 1960000 = 2504^2 + 1400^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 8230016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14180 + ... + 14748.

Almost surely, 28230016 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 8230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8284950).

8230016 is an abundant number, since it is smaller than the sum of its proper divisors (8339884).

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

8230016 is a wasteful number, since it uses less digits than its factorization.

8230016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 8230016 is about 2868.8004461796. The cubic root of 8230016 is about 201.8987173200.

The spelling of 8230016 in words is "eight million, two hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 569 904 1138 1808 2276 3616 4552 7232 9104 14464 18208 36416 64297 72832 128594 257188 514376 1028752 2057504 4115008 8230016