Search a number
-
+
1007052241 = 1325958889
BaseRepresentation
bin111100000001100…
…110010111010001
32121011221112222011
4330001212113101
54030301132431
6243532342521
733645542236
oct7401462721
92534845864
101007052241
11477500288
12241314a41
13130839100
1497a6578d
155d625cb1
hex3c0665d1

1007052241 has 6 divisors (see below), whose sum is σ = 1090476870. Its totient is φ = 929586528.

The previous prime is 1007052223. The next prime is 1007052253. The reversal of 1007052241 is 1422507001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4000000 + 1003052241 = 2000^2 + 31671^2 .

It is not a de Polignac number, because 1007052241 - 219 = 1006527953 is a prime.

It is a super-2 number, since 2×10070522412 = 2028308432206244162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007062241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2979276 + ... + 2979613.

It is an arithmetic number, because the mean of its divisors is an integer number (181746145).

Almost surely, 21007052241 is an apocalyptic number.

It is an amenable number.

1007052241 is a deficient number, since it is larger than the sum of its proper divisors (83424629).

1007052241 is an equidigital number, since it uses as much as digits as its factorization.

1007052241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958915 (or 5958902 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 1007052241 is about 31734.0864213861. The cubic root of 1007052241 is about 1002.3452425377.

Adding to 1007052241 its reverse (1422507001), we get a palindrome (2429559242).

The spelling of 1007052241 in words is "one billion, seven million, fifty-two thousand, two hundred forty-one".

Divisors: 1 13 169 5958889 77465557 1007052241