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36120136 = 2313536553
BaseRepresentation
bin1000100111001…
…0011001001000
32111222002111211
42021302121020
533221321021
63330102504
7616005343
oct211623110
974862454
1036120136
1119430658
121011aa34
137638880
144b2345a
1532873e1
hex2272648

36120136 has 32 divisors (see below), whose sum is σ = 74322360. Its totient is φ = 16353792.

The previous prime is 36120131. The next prime is 36120163. The reversal of 36120136 is 63102163.

It can be written as a sum of positive squares in 4 ways, for example, as 26071236 + 10048900 = 5106^2 + 3170^2 .

It is not an unprimeable number, because it can be changed into a prime (36120131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2236 + ... + 8788.

Almost surely, 236120136 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 36120136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37161180).

36120136 is an abundant number, since it is smaller than the sum of its proper divisors (38202224).

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

36120136 is a wasteful number, since it uses less digits than its factorization.

36120136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 36120136 is about 6010.0029950076. The cubic root of 36120136 is about 330.5596136791.

Adding to 36120136 its reverse (63102163), we get a palindrome (99222299).

It can be divided in two parts, 361201 and 36, that multiplied together give a square (13003236 = 36062).

The spelling of 36120136 in words is "thirty-six million, one hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2756 5512 6553 13106 26212 52424 85189 170378 340756 347309 681512 694618 1389236 2778472 4515017 9030034 18060068 36120136