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1330254640 = 24511313312
BaseRepresentation
bin100111101001010…
…0001001100110000
310102201002221022101
41033102201030300
510211021122030
6335555550144
744651656261
oct11722411460
93381087271
101330254640
11622992000
123115bb354
1318279bb30
14c8958968
157bbb97ca
hex4f4a1330

1330254640 has 240 divisors, whose sum is σ = 3785570208. Its totient is φ = 432115200.

The previous prime is 1330254617. The next prime is 1330254647. The reversal of 1330254640 is 464520331.

It is a junction number, because it is equal to n+sod(n) for n = 1330254599 and 1330254608.

It is not an unprimeable number, because it can be changed into a prime (1330254647) 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 47 ways as a sum of consecutive naturals, for example, 42911425 + ... + 42911455.

Almost surely, 21330254640 is an apocalyptic number.

1330254640 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 1330254640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892785104).

1330254640 is an abundant number, since it is smaller than the sum of its proper divisors (2455315568).

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

1330254640 is a wasteful number, since it uses less digits than its factorization.

1330254640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1330254640 is about 36472.6560590259. The cubic root of 1330254640 is about 1099.7946283258.

Adding to 1330254640 its reverse (464520331), we get a palindrome (1794774971).

It can be divided in two parts, 1330 and 254640, that added together give a triangular number (255970 = T715).

The spelling of 1330254640 in words is "one billion, three hundred thirty million, two hundred fifty-four thousand, six hundred forty".