Search a number
-
+
1047968 = 2532749
BaseRepresentation
bin11111111110110100000
31222020112122
43333312200
5232013333
634243412
711623205
oct3776640
91866478
101047968
11656399
12426568
132a8ccc
141d3cac
1515a798
hexffda0

1047968 has 12 divisors (see below), whose sum is σ = 2063250. Its totient is φ = 523968.

The previous prime is 1047961. The next prime is 1047971. The reversal of 1047968 is 8697401.

It can be written as a sum of positive squares in only one way, i.e., 976144 + 71824 = 988^2 + 268^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1047961) by changing a digit.

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 as a sum of consecutive naturals, namely, 16343 + ... + 16406.

21047968 is an apocalyptic number.

It is an amenable number.

1047968 is a deficient number, since it is larger than the sum of its proper divisors (1015282).

1047968 is an equidigital number, since it uses as much as digits as its factorization.

1047968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32759 (or 32751 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 1047968 is about 1023.7030819530. The cubic root of 1047968 is about 101.5740277093.

The spelling of 1047968 in words is "one million, forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 32749 65498 130996 261992 523984 1047968