Search a number
-
+
1943152640 = 211511131327
BaseRepresentation
bin111001111010010…
…0010100000000000
312000102101101022022
41303310202200000
512434421341030
6520452301012
766103345022
oct16364424000
95012341268
101943152640
1190794a380
12462911768
1324c762380
141460dc012
15b58d3de5
hex73d22800

1943152640 has 192 divisors, whose sum is σ = 5481665280. Its totient is φ = 651755520.

The previous prime is 1943152613. The next prime is 1943152661. The reversal of 1943152640 is 462513491.

It is a self number, because there is not a number n which added to its sum of digits gives 1943152640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1463657 + ... + 1464983.

It is an arithmetic number, because the mean of its divisors is an integer number (28550340).

Almost surely, 21943152640 is an apocalyptic number.

1943152640 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 1943152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740832640).

1943152640 is an abundant number, since it is smaller than the sum of its proper divisors (3538512640).

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

1943152640 is a wasteful number, since it uses less digits than its factorization.

1943152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 1943152640 is about 44081.2050651976. The cubic root of 1943152640 is about 1247.8689321044.

The spelling of 1943152640 in words is "one billion, nine hundred forty-three million, one hundred fifty-two thousand, six hundred forty".