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10386216 = 2332144253
BaseRepresentation
bin100111100111…
…101100101000
3201112200012200
4213213230220
510124324331
61010340200
7154165341
oct47475450
921480180
1010386216
115954355
12358a660
1321c85b9
1415450c8
15da25e6
hex9e7b28

10386216 has 24 divisors (see below), whose sum is σ = 28129530. Its totient is φ = 3462048.

The previous prime is 10386203. The next prime is 10386227. The reversal of 10386216 is 61268301.

10386216 is a `hidden beast` number, since 1 + 0 + 38 + 621 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6200100 + 4186116 = 2490^2 + 2046^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10386216.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 72055 + ... + 72198.

Almost surely, 210386216 is an apocalyptic number.

It is an amenable number.

10386216 is an abundant number, since it is smaller than the sum of its proper divisors (17743314).

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

10386216 is a wasteful number, since it uses less digits than its factorization.

10386216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144265 (or 144258 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10386216 is about 3222.7652722468. The cubic root of 10386216 is about 218.1820996208.

The spelling of 10386216 in words is "ten million, three hundred eighty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 144253 288506 432759 577012 865518 1154024 1298277 1731036 2596554 3462072 5193108 10386216