Search a number
-
+
36142736 = 2473131031
BaseRepresentation
bin1000100111011…
…1111010010000
32112000020111212
42021313322100
533223031421
63330355252
7616131260
oct211677220
975006455
1036142736
1119446633
121012bb28
137645c46
144b2b7a0
15328de5b
hex2277e90

36142736 has 40 divisors (see below), whose sum is σ = 80363904. Its totient is φ = 15425280.

The previous prime is 36142709. The next prime is 36142741. The reversal of 36142736 is 63724163.

36142736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34541 + ... + 35571.

Almost surely, 236142736 is an apocalyptic number.

It is an amenable number.

36142736 is an abundant number, since it is smaller than the sum of its proper divisors (44221168).

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

36142736 is a wasteful number, since it uses less digits than its factorization.

36142736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1353 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 36142736 is about 6011.8828997245. The cubic root of 36142736 is about 330.6285418960.

Adding to 36142736 its reverse (63724163), we get a palindrome (99866899).

The spelling of 36142736 in words is "thirty-six million, one hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 313 626 1031 1252 2062 2191 2504 4124 4382 5008 7217 8248 8764 14434 16496 17528 28868 35056 57736 115472 322703 645406 1290812 2258921 2581624 4517842 5163248 9035684 18071368 36142736