Search a number
-
+
30665216 = 29101593
BaseRepresentation
bin111010011111…
…0101000000000
32010200221202202
41310332220000
530322241331
63013132332
7521435651
oct164765000
963627682
1030665216
111634525a
12a32a0a8
1364789ca
144103528
152a5aecb
hex1d3ea00

30665216 has 40 divisors (see below), whose sum is σ = 61981524. Its totient is φ = 15155200.

The previous prime is 30665213. The next prime is 30665227. The reversal of 30665216 is 61256603.

It can be written as a sum of positive squares in 2 ways, for example, as 27040000 + 3625216 = 5200^2 + 1904^2 .

It is not an unprimeable number, because it can be changed into a prime (30665213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51416 + ... + 52008.

Almost surely, 230665216 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 30665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30990762).

30665216 is an abundant number, since it is smaller than the sum of its proper divisors (31316308).

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

30665216 is an equidigital number, since it uses as much as digits as its factorization.

30665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 30665216 is about 5537.6182605882. The cubic root of 30665216 is about 313.0031268082.

The spelling of 30665216 in words is "thirty million, six hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 593 808 1186 1616 2372 3232 4744 6464 9488 12928 18976 25856 37952 51712 59893 75904 119786 151808 239572 303616 479144 958288 1916576 3833152 7666304 15332608 30665216