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1330002240 = 26357474211
BaseRepresentation
bin100111101000110…
…0011100101000000
310102200122010002020
41033101203211000
510210440032430
6335550321440
744646555360
oct11721434500
93380563066
101330002240
1162282a406
123114b9280
13182710c98
14c88d09a0
157bb69b10
hex4f463940

1330002240 has 224 divisors, whose sum is σ = 4929859584. Its totient is φ = 297461760.

The previous prime is 1330002199. The next prime is 1330002241. The reversal of 1330002240 is 422000331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330002241) 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 31 ways as a sum of consecutive naturals, for example, 313735 + ... + 317945.

Almost surely, 21330002240 is an apocalyptic number.

1330002240 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 1330002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464929792).

1330002240 is an abundant number, since it is smaller than the sum of its proper divisors (3599857344).

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

1330002240 is a wasteful number, since it uses less digits than its factorization.

1330002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1330002240 is about 36469.1957684838. The cubic root of 1330002240 is about 1099.7250662751.

Adding to 1330002240 its reverse (422000331), we get a palindrome (1752002571).

The spelling of 1330002240 in words is "one billion, three hundred thirty million, two thousand, two hundred forty".