Search a number
-
+
7336064 = 27371549
BaseRepresentation
bin11011111111000010000000
3111210201012002
4123333002000
53334223224
6421123132
7116232641
oct33770200
914721162
107336064
11416076a
1225594a8
13169b188
14d8d6c8
1599d9ae
hex6ff080

7336064 has 32 divisors (see below), whose sum is σ = 15019500. Its totient is φ = 3566592.

The previous prime is 7336039. The next prime is 7336079. The reversal of 7336064 is 4606337.

It can be written as a sum of positive squares in 2 ways, for example, as 7182400 + 153664 = 2680^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3962 + ... + 5510.

Almost surely, 27336064 is an apocalyptic number.

7336064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509750).

7336064 is an abundant number, since it is smaller than the sum of its proper divisors (7683436).

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

7336064 is a wasteful number, since it uses less digits than its factorization.

7336064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 7336064 is about 2708.5169373663. The cubic root of 7336064 is about 194.3066677022.

The spelling of 7336064 in words is "seven million, three hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 1549 2368 3098 4736 6196 12392 24784 49568 57313 99136 114626 198272 229252 458504 917008 1834016 3668032 7336064