Search a number
-
+
16384064 = 26594339
BaseRepresentation
bin111110100000…
…000001000000
31010211101201012
4332200001000
513143242224
61343100052
7256155644
oct76400100
933741635
1016384064
119280654
1255a1628
133518618
142266c24
15168980e
hexfa0040

16384064 has 28 divisors (see below), whose sum is σ = 33070800. Its totient is φ = 8051328.

The previous prime is 16384063. The next prime is 16384079. The reversal of 16384064 is 46048361.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 16384064.

It is not an unprimeable number, because it can be changed into a prime (16384063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1607 + ... + 5945.

It is an arithmetic number, because the mean of its divisors is an integer number (1181100).

Almost surely, 216384064 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 16384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535400).

16384064 is an abundant number, since it is smaller than the sum of its proper divisors (16686736).

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

16384064 is an equidigital number, since it uses as much as digits as its factorization.

16384064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 16384064 is about 4047.7233107020. The cubic root of 16384064 is about 253.9844990230.

The spelling of 16384064 in words is "sixteen million, three hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1888 3776 4339 8678 17356 34712 69424 138848 256001 277696 512002 1024004 2048008 4096016 8192032 16384064