Search a number
-
+
1330000000 = 2757719
BaseRepresentation
bin100111101000110…
…0011000010000000
310102200122000000021
41033101203002000
510210440000000
6335550303224
744646546010
oct11721430200
93380560007
101330000000
1162282875a
123114b7b14
1318270cc64
14c88cdc40
157bb6911a
hex4f463080

1330000000 has 256 divisors, whose sum is σ = 3984364800. Its totient is φ = 432000000.

The previous prime is 1329999977. The next prime is 1330000013. The reversal of 1330000000 is 331.

It is a happy number.

It is a sliding number, since 1330000000 = 80000000 + 1250000000 and 1/80000000 + 1/1250000000 = 0.00000001330000000.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69999991 + ... + 70000009.

It is an arithmetic number, because the mean of its divisors is an integer number (15563925).

Almost surely, 21330000000 is an apocalyptic number.

1330000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992182400).

1330000000 is an abundant number, since it is smaller than the sum of its proper divisors (2654364800).

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

1330000000 is an frugal number, since it uses more digits than its factorization.

1330000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 1330000000 is about 36469.1650576209. The cubic root of 1330000000 is about 1099.7244488863.

Adding to 1330000000 its reverse (331), we get a palindrome (1330000331).

The spelling of 1330000000 in words is "one billion, three hundred thirty million", and thus it is an aban number.