Search a number
-
+
1330210000 = 2454731613
BaseRepresentation
bin100111101001001…
…0110010011010000
310102201000200002001
41033102112103100
510211013210000
6335555003344
744651412160
oct11722262320
93381020061
101330210000
11622961509
12311599554
13182784712
14c89465a0
157bbab46a
hex4f4964d0

1330210000 has 200 divisors, whose sum is σ = 3805581824. Its totient is φ = 440640000.

The previous prime is 1330209967. The next prime is 1330210003. The reversal of 1330210000 is 120331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330210003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2169694 + ... + 2170306.

Almost surely, 21330210000 is an apocalyptic number.

1330210000 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 1330210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902790912).

1330210000 is an abundant number, since it is smaller than the sum of its proper divisors (2475371824).

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

1330210000 is an equidigital number, since it uses as much as digits as its factorization.

1330210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1330210000 is about 36472.0440885893. The cubic root of 1330210000 is about 1099.7823260744.

Adding to 1330210000 its reverse (120331), we get a palindrome (1330330331).

The spelling of 1330210000 in words is "one billion, three hundred thirty million, two hundred ten thousand".