Search a number
-
+
36006036 = 22311416653
BaseRepresentation
bin1000100101011…
…0100010010100
32111202021222220
42021112202110
533204143121
63323422340
7615021603
oct211264224
974667886
1036006036
1119362960
12100849b0
1375c8961
144ad3a3a
1532636c6
hex2256894

36006036 has 48 divisors (see below), whose sum is σ = 93901248. Its totient is φ = 10643200.

The previous prime is 36006031. The next prime is 36006041. The reversal of 36006036 is 63060063.

It is an interprime number because it is at equal distance from previous prime (36006031) and next prime (36006041).

It is a junction number, because it is equal to n+sod(n) for n = 36005997 and 36006015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36006031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086 + ... + 8738.

It is an arithmetic number, because the mean of its divisors is an integer number (1956276).

Almost surely, 236006036 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 36006036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46950624).

36006036 is an abundant number, since it is smaller than the sum of its proper divisors (57895212).

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

36006036 is a wasteful number, since it uses less digits than its factorization.

36006036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 36006036 is about 6000.5029789177. The cubic root of 36006036 is about 330.2111779627.

Adding to 36006036 its reverse (63060063), we get a palindrome (99066099).

The spelling of 36006036 in words is "thirty-six million, six thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 6653 13306 19959 26612 39918 73183 79836 146366 219549 272773 292732 439098 545546 818319 878196 1091092 1636638 3000503 3273276 6001006 9001509 12002012 18003018 36006036