Search a number
-
+
216706072 = 23111728521
BaseRepresentation
bin11001110101010…
…10110000011000
3120002202210211211
430322222300120
5420434043242
633300432504
75240654062
oct1472526030
9502683754
10216706072
11101363530
12606a8734
1335b8635b
1420ad0732
1514059317
hexceaac18

216706072 has 48 divisors (see below), whose sum is σ = 470925720. Its totient is φ = 92697600.

The previous prime is 216706057. The next prime is 216706079. The reversal of 216706072 is 270607612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216706079) 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 11 ways as a sum of consecutive naturals, for example, 21172 + ... + 29692.

Almost surely, 2216706072 is an apocalyptic number.

216706072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216706072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235462860).

216706072 is an abundant number, since it is smaller than the sum of its proper divisors (254219648).

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

216706072 is a wasteful number, since it uses less digits than its factorization.

216706072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8551 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 216706072 is about 14720.9399156440. The cubic root of 216706072 is about 600.6530593017.

The spelling of 216706072 in words is "two hundred sixteen million, seven hundred six thousand, seventy-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 289 374 578 748 1156 1496 2312 3179 6358 8521 12716 17042 25432 34084 68168 93731 144857 187462 289714 374924 579428 749848 1158856 1593427 2462569 3186854 4925138 6373708 9850276 12747416 19700552 27088259 54176518 108353036 216706072