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1331690640 = 2435742311
BaseRepresentation
bin100111101011111…
…1111110010010000
310102210210220010120
41033113333302100
510211403100030
6340050430240
745000120000
oct11727776220
93383726116
101331690640
11623782985
12311b92380
13182b82637
14c8c10000
157bda0010
hex4f5ffc90

1331690640 has 200 divisors, whose sum is σ = 4818078528. Its totient is φ = 304254720.

The previous prime is 1331690627. The next prime is 1331690651. The reversal of 1331690640 is 460961331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 575085 + ... + 577395.

Almost surely, 21331690640 is an apocalyptic number.

1331690640 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 1331690640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409039264).

1331690640 is an abundant number, since it is smaller than the sum of its proper divisors (3486387888).

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

1331690640 is an equidigital number, since it uses as much as digits as its factorization.

1331690640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1331690640 is about 36492.3367297848. The cubic root of 1331690640 is about 1100.1902260550.

The spelling of 1331690640 in words is "one billion, three hundred thirty-one million, six hundred ninety thousand, six hundred forty".