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1152309983 = 11229541607
BaseRepresentation
bin100010010101110…
…1101101011011111
32222022021102010112
41010223231223133
54324442404413
6310202000235
740361321216
oct10453555337
92868242115
101152309983
115414a3600
12281aa607b
13154967636
14ad07807d
156b26a2a8
hex44aedadf

1152309983 has 24 divisors (see below), whose sum is σ = 1314848640. Its totient is φ = 1007899200.

The previous prime is 1152309979. The next prime is 1152310013. The reversal of 1152309983 is 3899032511.

It is not a de Polignac number, because 1152309983 - 22 = 1152309979 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1152309983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152309953) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1898066 + ... + 1898672.

It is an arithmetic number, because the mean of its divisors is an integer number (54785360).

Almost surely, 21152309983 is an apocalyptic number.

1152309983 is a deficient number, since it is larger than the sum of its proper divisors (162538657).

1152309983 is a wasteful number, since it uses less digits than its factorization.

1152309983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 1152309983 is about 33945.6916706671. The cubic root of 1152309983 is about 1048.3905753253.

The spelling of 1152309983 in words is "one billion, one hundred fifty-two million, three hundred nine thousand, nine hundred eighty-three".

Divisors: 1 11 29 121 319 541 607 3509 5951 6677 15689 17603 65461 73447 172579 193633 328387 1898369 2129963 3612257 9523223 39734827 104755453 1152309983