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1321005642 = 231124613947
BaseRepresentation
bin100111010111100…
…1111001001001010
310102001201001001220
41032233033021022
510201134140032
6335025422510
744510235255
oct11657171112
93361631056
101321005642
11618745100
1230a49aa36
131808b1058
14c762c09c
157ae8e12c
hex4ebcf24a

1321005642 has 48 divisors (see below), whose sum is σ = 2911065696. Its totient is φ = 399335200.

The previous prime is 1321005619. The next prime is 1321005659. The reversal of 1321005642 is 2465001231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332713 + ... + 336659.

It is an arithmetic number, because the mean of its divisors is an integer number (60647202).

Almost surely, 21321005642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321005642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455532848).

1321005642 is an abundant number, since it is smaller than the sum of its proper divisors (1590060054).

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

1321005642 is a wasteful number, since it uses less digits than its factorization.

1321005642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1321005642 is about 36345.6413067647. The cubic root of 1321005642 is about 1097.2398130976.

Adding to 1321005642 its reverse (2465001231), we get a palindrome (3786006873).

The spelling of 1321005642 in words is "one billion, three hundred twenty-one million, five thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 461 726 922 1383 2766 3947 5071 7894 10142 11841 15213 23682 30426 43417 55781 86834 111562 130251 167343 260502 334686 477587 955174 1432761 1819567 2865522 3639134 5458701 10917402 20015237 40030474 60045711 120091422 220167607 440335214 660502821 1321005642