Search a number
-
+
1104064 = 26131327
BaseRepresentation
bin100001101100011000000
32002002111021
410031203000
5240312224
635355224
712245563
oct4154300
92062437
101104064
11694555
12452b14
132c86c0
1420a4da
1516c1e4
hex10d8c0

1104064 has 28 divisors (see below), whose sum is σ = 2361184. Its totient is φ = 509184.

The previous prime is 1104041. The next prime is 1104079. The reversal of 1104064 is 4604011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 169 + ... + 1495.

It is an arithmetic number, because the mean of its divisors is an integer number (84328).

21104064 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 1104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180592).

1104064 is an abundant number, since it is smaller than the sum of its proper divisors (1257120).

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

1104064 is a wasteful number, since it uses less digits than its factorization.

1104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1104064 is about 1050.7444979632. The cubic root of 1104064 is about 103.3549821678.

Adding to 1104064 its reverse (4604011), we get a palindrome (5708075).

The spelling of 1104064 in words is "one million, one hundred four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1327 2654 5308 10616 17251 21232 34502 42464 69004 84928 138008 276016 552032 1104064