Search a number
-
+
36135756 = 22321003771
BaseRepresentation
bin1000100111011…
…0001101001100
32111222212221100
42021312031030
533222321011
63330303100
7616102026
oct211661514
974885840
1036135756
1119441368
1210127a90
137642a07
144b29016
15328bd56
hex227634c

36135756 has 18 divisors (see below), whose sum is σ = 91343252. Its totient is φ = 12045240.

The previous prime is 36135751. The next prime is 36135763. The reversal of 36135756 is 65753163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1003771 = 36135756 / (3 + 6 + 1 + 3 + 5 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 36135756.

It is not an unprimeable number, because it can be changed into a prime (36135751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501850 + ... + 501921.

Almost surely, 236135756 is an apocalyptic number.

36135756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36135756 is an abundant number, since it is smaller than the sum of its proper divisors (55207496).

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

36135756 is a wasteful number, since it uses less digits than its factorization.

36135756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003781 (or 1003776 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 36135756 is about 6011.3023547315. The cubic root of 36135756 is about 330.6072565142.

The spelling of 36135756 in words is "thirty-six million, one hundred thirty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1003771 2007542 3011313 4015084 6022626 9033939 12045252 18067878 36135756