Search a number
-
+
36040950 = 2345211809
BaseRepresentation
bin1000100101111…
…1000011110110
32111211001220000
42021133003312
533211302300
63324252130
7615225441
oct211370366
974731800
1036040950
1119387110
12100a1046
13760b80a
144b02658
15326dc00
hex225f0f6

36040950 has 120 divisors (see below), whose sum is σ = 109379160. Its totient is φ = 8726400.

The previous prime is 36040943. The next prime is 36040951. The reversal of 36040950 is 5904063.

It is a happy number.

36040950 is a `hidden beast` number, since 3 + 604 + 0 + 9 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36040951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44146 + ... + 44954.

It is an arithmetic number, because the mean of its divisors is an integer number (911493).

Almost surely, 236040950 is an apocalyptic number.

36040950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36040950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54689580).

36040950 is an abundant number, since it is smaller than the sum of its proper divisors (73338210).

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

36040950 is a wasteful number, since it uses less digits than its factorization.

36040950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 36040950 is about 6003.4115301219. The cubic root of 36040950 is about 330.3178755234.

The spelling of 36040950 in words is "thirty-six million, forty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 81 90 99 110 135 150 162 165 198 225 270 275 297 330 405 450 495 550 594 675 809 810 825 891 990 1350 1485 1618 1650 1782 2025 2427 2475 2970 4045 4050 4455 4854 4950 7281 7425 8090 8899 8910 12135 14562 14850 17798 20225 21843 22275 24270 26697 36405 40450 43686 44495 44550 53394 60675 65529 72810 80091 88990 109215 121350 131058 133485 160182 182025 218430 222475 240273 266970 327645 364050 400455 444950 480546 546075 655290 667425 720819 800910 1092150 1201365 1334850 1441638 1638225 2002275 2402730 3276450 3604095 4004550 6006825 7208190 12013650 18020475 36040950