Search a number
-
+
36078540 = 2235601309
BaseRepresentation
bin1000100110100…
…0001111001100
32111212222110020
42021220033030
533214003130
63325142140
7615443151
oct211501714
974788406
1036078540
1119402383
12100ba950
137622964
144b12228
153279e10
hex22683cc

36078540 has 24 divisors (see below), whose sum is σ = 101020080. Its totient is φ = 9620928.

The previous prime is 36078521. The next prime is 36078547. The reversal of 36078540 is 4587063.

It is a super-2 number, since 2×360785402 = 2603322097063200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36078547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300595 + ... + 300714.

It is an arithmetic number, because the mean of its divisors is an integer number (4209170).

Almost surely, 236078540 is an apocalyptic number.

36078540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36078540 is an abundant number, since it is smaller than the sum of its proper divisors (64941540).

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

36078540 is a wasteful number, since it uses less digits than its factorization.

36078540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601321 (or 601319 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 36078540 is about 6006.5414341366. The cubic root of 36078540 is about 330.4326739648.

It can be divided in two parts, 360785 and 40, that added together give a triangular number (360825 = T849).

The spelling of 36078540 in words is "thirty-six million, seventy-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 601309 1202618 1803927 2405236 3006545 3607854 6013090 7215708 9019635 12026180 18039270 36078540