Search a number
-
+
36166806 = 232131271217
BaseRepresentation
bin1000100111110…
…1110010010110
32112001110112100
42021331302112
533224314211
63331102530
7616261404
oct211756226
975043470
1036166806
1119462725
1210141a46
137653ba0
144b36474
153296156
hex227dc96

36166806 has 48 divisors (see below), whose sum is σ = 85123584. Its totient is φ = 11031552.

The previous prime is 36166789. The next prime is 36166807. The reversal of 36166806 is 60866163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36166807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29110 + ... + 30326.

It is an arithmetic number, because the mean of its divisors is an integer number (1773408).

Almost surely, 236166806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36166806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42561792).

36166806 is an abundant number, since it is smaller than the sum of its proper divisors (48956778).

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

36166806 is a wasteful number, since it uses less digits than its factorization.

36166806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36166806 is about 6013.8844352049. The cubic root of 36166806 is about 330.7019219062.

The spelling of 36166806 in words is "thirty-six million, one hundred sixty-six thousand, eight hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 762 1143 1217 1651 2286 2434 3302 3651 4953 7302 9906 10953 14859 15821 21906 29718 31642 47463 94926 142389 154559 284778 309118 463677 927354 1391031 2009267 2782062 4018534 6027801 12055602 18083403 36166806