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1330500240 = 2432517711531
BaseRepresentation
bin100111101001101…
…1101001010010000
310102201120102012200
41033103131022100
510211102001430
6340005123200
744654031306
oct11723351220
93381512180
101330500240
1162303a583
123116b9500
13182856864
14c89c0276
157bc17460
hex4f4dd290

1330500240 has 240 divisors, whose sum is σ = 4800871296. Its totient is φ = 329011200.

The previous prime is 1330500221. The next prime is 1330500247. The reversal of 1330500240 is 420050331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1330500247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868275 + ... + 869805.

Almost surely, 21330500240 is an apocalyptic number.

1330500240 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 1330500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400435648).

1330500240 is an abundant number, since it is smaller than the sum of its proper divisors (3470371056).

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

1330500240 is a wasteful number, since it uses less digits than its factorization.

1330500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1330500240 is about 36476.0228095115. The cubic root of 1330500240 is about 1099.8623078340.

Adding to 1330500240 its reverse (420050331), we get a palindrome (1750550571).

The spelling of 1330500240 in words is "one billion, three hundred thirty million, five hundred thousand, two hundred forty".