Search a number
-
+
3636064 = 2537283
BaseRepresentation
bin1101110111101101100000
320211201202001
431313231200
51412323224
6205533344
742622525
oct15675540
96751661
103636064
112063913
121274254
139a4023
146a914c
154bc544
hex377b60

3636064 has 36 divisors (see below), whose sum is σ = 7445844. Its totient is φ = 1747584.

The previous prime is 3636053. The next prime is 3636071. The reversal of 3636064 is 4606363.

It is a super-2 number, since 2×36360642 = 26441922824192, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 43767 + ... + 43849.

It is an arithmetic number, because the mean of its divisors is an integer number (206829).

Almost surely, 23636064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3636064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722922).

3636064 is an abundant number, since it is smaller than the sum of its proper divisors (3809780).

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

3636064 is an equidigital number, since it uses as much as digits as its factorization.

3636064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 3636064 is about 1906.8466115553. The cubic root of 3636064 is about 153.7719681303.

Subtracting 3636064 from its reverse (4606363), we obtain a cube (970299 = 993).

It can be divided in two parts, 36 and 36064, that added together give a square (36100 = 1902).

The spelling of 3636064 in words is "three million, six hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 74 83 148 166 296 332 592 664 1184 1328 1369 2656 2738 3071 5476 6142 10952 12284 21904 24568 43808 49136 98272 113627 227254 454508 909016 1818032 3636064