Search a number
-
+
1135680007 = 72112107013
BaseRepresentation
bin100001110110001…
…0001101000000111
32221010222112002111
41003230101220013
54311213230012
6304405321451
740100056300
oct10354215007
92833875074
101135680007
11533075220
12278406287
13151394107
14aab897a7
1569a82ba7
hex43b11a07

1135680007 has 12 divisors (see below), whose sum is σ = 1441197576. Its totient is φ = 884945040.

The previous prime is 1135680001. The next prime is 1135680011. The reversal of 1135680007 is 7000865311.

It is not a de Polignac number, because 1135680007 - 27 = 1135679879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135680001) 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 in 11 ways as a sum of consecutive naturals, for example, 1052968 + ... + 1054045.

It is an arithmetic number, because the mean of its divisors is an integer number (120099798).

Almost surely, 21135680007 is an apocalyptic number.

1135680007 is a deficient number, since it is larger than the sum of its proper divisors (305517569).

1135680007 is a wasteful number, since it uses less digits than its factorization.

1135680007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107038 (or 2107031 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 1135680007 is about 33699.8517355789. The cubic root of 1135680007 is about 1043.3227084243.

The spelling of 1135680007 in words is "one billion, one hundred thirty-five million, six hundred eighty thousand, seven".

Divisors: 1 7 11 49 77 539 2107013 14749091 23177143 103243637 162240001 1135680007