Search a number
-
+
36327380 = 2254094441
BaseRepresentation
bin1000101010010…
…0111111010100
32112100121210112
42022210333110
533244434010
63334342152
7620530505
oct212447724
975317715
1036327380
1119562331
12101ba958
1376abcbb
144b78bac
1532c8a05
hex22a4fd4

36327380 has 24 divisors (see below), whose sum is σ = 76491240. Its totient is φ = 14492160.

The previous prime is 36327371. The next prime is 36327383. The reversal of 36327380 is 8372363.

36327380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8596624 + 27730756 = 2932^2 + 5266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36327383) 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 7 ways as a sum of consecutive naturals, for example, 5960 + ... + 10400.

It is an arithmetic number, because the mean of its divisors is an integer number (3187135).

Almost surely, 236327380 is an apocalyptic number.

It is an amenable number.

36327380 is an abundant number, since it is smaller than the sum of its proper divisors (40163860).

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

36327380 is a wasteful number, since it uses less digits than its factorization.

36327380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4857 counting only the distinct ones).

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

The square root of 36327380 is about 6027.2199229827. The cubic root of 36327380 is about 331.1906180489.

The spelling of 36327380 in words is "thirty-six million, three hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 4090 4441 8180 8882 17764 22205 44410 88820 1816369 3632738 7265476 9081845 18163690 36327380