Search a number
-
+
36023148 = 22327142949
BaseRepresentation
bin1000100101101…
…0101101101100
32111210011110200
42021122231230
533210220043
63324033500
7615122520
oct211325554
974704420
1036023148
11193747a7
1210092890
137603695
144ad9d80
1532687d3
hex225ab6c

36023148 has 36 divisors (see below), whose sum is σ = 104067600. Its totient is φ = 10292256.

The previous prime is 36023087. The next prime is 36023149. The reversal of 36023148 is 84132063.

It is a happy number.

36023148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (36023149) 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 11 ways as a sum of consecutive naturals, for example, 71223 + ... + 71726.

Almost surely, 236023148 is an apocalyptic number.

It is an amenable number.

36023148 is an abundant number, since it is smaller than the sum of its proper divisors (68044452).

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

36023148 is a wasteful number, since it uses less digits than its factorization.

36023148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142966 (or 142961 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36023148 is about 6001.9286900129. The cubic root of 36023148 is about 330.2634810336.

The spelling of 36023148 in words is "thirty-six million, twenty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 142949 285898 428847 571796 857694 1000643 1286541 1715388 2001286 2573082 3001929 4002572 5146164 6003858 9005787 12007716 18011574 36023148