Search a number
-
+
36240581 = 1319314733
BaseRepresentation
bin1000101000111…
…1110011000101
32112012012201202
42022033303011
533234144311
63332432245
7620016446
oct212176305
975165652
1036240581
11195030a3
1210178685
13767b640
144b552cd
1532ace3b
hex228fcc5

36240581 has 16 divisors (see below), whose sum is σ = 42416640. Its totient is φ = 30663360.

The previous prime is 36240553. The next prime is 36240599. The reversal of 36240581 is 18504263.

36240581 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-36240581 is a prime.

It is a super-2 number, since 2×362405812 = 2626759422435122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36240541) 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 15 ways as a sum of consecutive naturals, for example, 5291 + ... + 10023.

It is an arithmetic number, because the mean of its divisors is an integer number (2651040).

Almost surely, 236240581 is an apocalyptic number.

36240581 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

36240581 is a deficient number, since it is larger than the sum of its proper divisors (6176059).

36240581 is a wasteful number, since it uses less digits than its factorization.

36240581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 36240581 is about 6020.0150332038. The cubic root of 36240581 is about 330.9266303854.

The spelling of 36240581 in words is "thirty-six million, two hundred forty thousand, five hundred eighty-one".

Divisors: 1 13 19 31 247 403 589 4733 7657 61529 89927 146723 1169051 1907399 2787737 36240581