Search a number
-
+
36631128 = 2331526297
BaseRepresentation
bin1000101110111…
…1001001011000
32112221001110110
42023233021120
533334144003
63345044320
7623234202
oct213571130
975831413
1036631128
111974a566
12103266a0
137787331
144c17772
153338a03
hex22ef258

36631128 has 16 divisors (see below), whose sum is σ = 91577880. Its totient is φ = 12210368.

The previous prime is 36631123. The next prime is 36631139. The reversal of 36631128 is 82113663.

36631128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36631095 and 36631104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36631123) 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 3 ways as a sum of consecutive naturals, for example, 763125 + ... + 763172.

Almost surely, 236631128 is an apocalyptic number.

It is an amenable number.

36631128 is an abundant number, since it is smaller than the sum of its proper divisors (54946752).

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

36631128 is a wasteful number, since it uses less digits than its factorization.

36631128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526306 (or 1526302 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 36631128 is about 6052.3654879725. The cubic root of 36631128 is about 332.1111303590. Note that the first 4 decimals are identical.

The spelling of 36631128 in words is "thirty-six million, six hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 1526297 3052594 4578891 6105188 9157782 12210376 18315564 36631128