Search a number
-
+
1000393461 = 32521213349
BaseRepresentation
bin111011101000001…
…100101011110101
32120201102020211200
4323220030223311
54022100042321
6243133523113
733535130004
oct7350145365
92521366750
101000393461
11473772461
1223b043499
1312c3472c2
1496c10c3b
155cc5cd26
hex3ba0caf5

1000393461 has 12 divisors (see below), whose sum is σ = 1447793100. Its totient is φ = 665645760.

The previous prime is 1000393447. The next prime is 1000393469. The reversal of 1000393461 is 1643930001.

It can be written as a sum of positive squares in 2 ways, for example, as 92275236 + 908118225 = 9606^2 + 30135^2 .

It is a de Polignac number, because none of the positive numbers 2k-1000393461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000393469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101986 + ... + 111363.

It is an arithmetic number, because the mean of its divisors is an integer number (120649425).

Almost surely, 21000393461 is an apocalyptic number.

It is an amenable number.

1000393461 is a deficient number, since it is larger than the sum of its proper divisors (447399639).

1000393461 is a wasteful number, since it uses less digits than its factorization.

1000393461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213876 (or 213873 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1000393461 is about 31628.9971545100. The cubic root of 1000393461 is about 1000.1311364691.

The spelling of 1000393461 in words is "one billion, three hundred ninety-three thousand, four hundred sixty-one".

Divisors: 1 3 9 521 1563 4689 213349 640047 1920141 111154829 333464487 1000393461