Search a number
-
+
7312064 = 26432657
BaseRepresentation
bin11011111001001011000000
3111202111021012
4123321023000
53332441224
6420420052
7116102654
oct33711300
914674235
107312064
114144731
122547628
131690286
14d84a64
1599680e
hex6f92c0

7312064 has 28 divisors (see below), whose sum is σ = 14852904. Its totient is φ = 3569664.

The previous prime is 7312061. The next prime is 7312069. The reversal of 7312064 is 4602137.

It is not an unprimeable number, because it can be changed into a prime (7312061) 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 3 ways as a sum of consecutive naturals, for example, 1424 + ... + 4080.

Almost surely, 27312064 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 7312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426452).

7312064 is an abundant number, since it is smaller than the sum of its proper divisors (7540840).

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

7312064 is a wasteful number, since it uses less digits than its factorization.

7312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 7312064 is about 2704.0828389678. The cubic root of 7312064 is about 194.0945442031.

The spelling of 7312064 in words is "seven million, three hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 2657 2752 5314 10628 21256 42512 85024 114251 170048 228502 457004 914008 1828016 3656032 7312064