Search a number
-
+
66020836 = 22721811861
BaseRepresentation
bin1111101111011…
…0010111100100
311121020012120011
43323312113210
5113400131321
610315020004
71431111400
oct373662744
9147205504
1066020836
11342a3482
121a13a604
13108a75ab
148aa8100
155be1ae1
hex3ef65e4

66020836 has 36 divisors (see below), whose sum is σ = 135214716. Its totient is φ = 28123200.

The previous prime is 66020831. The next prime is 66020873. The reversal of 66020836 is 63802066.

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 65707236 = 560^2 + 8106^2 .

It is a super-2 number, since 2×660208362 = 8717501572277792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66020798 and 66020807.

It is not an unprimeable number, because it can be changed into a prime (66020831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34546 + ... + 36406.

Almost surely, 266020836 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 66020836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67607358).

66020836 is an abundant number, since it is smaller than the sum of its proper divisors (69193880).

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

66020836 is a wasteful number, since it uses less digits than its factorization.

66020836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 66020836 is about 8125.3206705951. The cubic root of 66020836 is about 404.1665244954.

The spelling of 66020836 in words is "sixty-six million, twenty thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 181 196 362 724 1267 1861 2534 3722 5068 7444 8869 13027 17738 26054 35476 52108 91189 182378 336841 364756 673682 1347364 2357887 4715774 9431548 16505209 33010418 66020836