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1330000040 = 23533250001
BaseRepresentation
bin100111101000110…
…0011000010101000
310102200122000001202
41033101203002220
510210440000130
6335550303332
744646546065
oct11721430250
93380560052
101330000040
11622828796
123114b7b48
1318270cc95
14c88cdc6c
157bb69145
hex4f4630a8

1330000040 has 16 divisors (see below), whose sum is σ = 2992500180. Its totient is φ = 532000000.

The previous prime is 1330000013. The next prime is 1330000043. The reversal of 1330000040 is 400000331.

It can be written as a sum of positive squares in 2 ways, for example, as 1306244164 + 23755876 = 36142^2 + 4874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1329999976 and 1330000030.

It is not an unprimeable number, because it can be changed into a prime (1330000043) 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 3 ways as a sum of consecutive naturals, for example, 16624961 + ... + 16625040.

Almost surely, 21330000040 is an apocalyptic number.

1330000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330000040 is an abundant number, since it is smaller than the sum of its proper divisors (1662500140).

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

1330000040 is a wasteful number, since it uses less digits than its factorization.

1330000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33250012 (or 33250008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1330000040 is about 36469.1656060294. The cubic root of 1330000040 is about 1099.7244599111.

Adding to 1330000040 its reverse (400000331), we get a palindrome (1730000371).

The spelling of 1330000040 in words is "one billion, three hundred thirty million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 33250001 66500002 133000004 166250005 266000008 332500010 665000020 1330000040