Search a number
-
+
36068060 = 22572411069
BaseRepresentation
bin1000100110010…
…1101011011100
32111212110002002
42021211223130
533213134220
63325021432
7615400460
oct211455334
974773062
1036068060
11193a5516
12100b4878
13761ac62
144b0c4a0
153276c75
hex2265adc

36068060 has 48 divisors (see below), whose sum is σ = 87003840. Its totient is φ = 12303360.

The previous prime is 36068027. The next prime is 36068063. The reversal of 36068060 is 6086063.

36068060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36068063) 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 15 ways as a sum of consecutive naturals, for example, 33206 + ... + 34274.

It is an arithmetic number, because the mean of its divisors is an integer number (1812580).

Almost surely, 236068060 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 36068060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43501920).

36068060 is an abundant number, since it is smaller than the sum of its proper divisors (50935780).

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

36068060 is a wasteful number, since it uses less digits than its factorization.

36068060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 36068060 is about 6005.6689885474. The cubic root of 36068060 is about 330.4006764599.

The spelling of 36068060 in words is "thirty-six million, sixty-eight thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 482 964 1069 1205 1687 2138 2410 3374 4276 4820 5345 6748 7483 8435 10690 14966 16870 21380 29932 33740 37415 74830 149660 257629 515258 1030516 1288145 1803403 2576290 3606806 5152580 7213612 9017015 18034030 36068060