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1116680312 = 2311195231277
BaseRepresentation
bin100001010001111…
…0011000001111000
32212211020020102002
41002203303001320
54241332232222
6302450200132
736446424506
oct10243630170
92784206362
101116680312
115233784a0
12271b83048
1314a4710a7
14a8441676
156807d392
hex428f3078

1116680312 has 64 divisors (see below), whose sum is σ = 2410819200. Its totient is φ = 479571840.

The previous prime is 1116680311. The next prime is 1116680317. The reversal of 1116680312 is 2130866111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116680311) 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 15 ways as a sum of consecutive naturals, for example, 873818 + ... + 875094.

It is an arithmetic number, because the mean of its divisors is an integer number (37669050).

Almost surely, 21116680312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116680312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205409600).

1116680312 is an abundant number, since it is smaller than the sum of its proper divisors (1294138888).

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

1116680312 is a wasteful number, since it uses less digits than its factorization.

1116680312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1116680312 is about 33416.7669291929. The cubic root of 1116680312 is about 1037.4717656612.

The spelling of 1116680312 in words is "one billion, one hundred sixteen million, six hundred eighty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 523 836 1046 1277 1672 2092 2554 4184 5108 5753 9937 10216 11506 14047 19874 23012 24263 28094 39748 46024 48526 56188 79496 97052 109307 112376 194104 218614 266893 437228 533786 667871 874456 1067572 1335742 2135144 2671484 5342968 7346581 12689549 14693162 25379098 29386324 50758196 58772648 101516392 139585039 279170078 558340156 1116680312