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1116921312 = 25361329127
BaseRepresentation
bin100001010010010…
…1101110111100000
32212211200111000000
41002210231313200
54241412440222
6302455300000
736451450233
oct10244556740
92784614000
101116921312
11523522571
1227207a600
1314a5269b0
14a84a541a
15680c99ac
hex4292dde0

1116921312 has 336 divisors, whose sum is σ = 3701859840. Its totient is φ = 329204736.

The previous prime is 1116921293. The next prime is 1116921359. The reversal of 1116921312 is 2131296111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8794593 + ... + 8794719.

It is an arithmetic number, because the mean of its divisors is an integer number (11017440).

Almost surely, 21116921312 is an apocalyptic number.

1116921312 is a gapful number since it is divisible by the number (12) 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 1116921312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850929920).

1116921312 is an abundant number, since it is smaller than the sum of its proper divisors (2584938528).

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

1116921312 is a wasteful number, since it uses less digits than its factorization.

1116921312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 1116921312 is about 33420.3727088733. The cubic root of 1116921312 is about 1037.5463954091.

The spelling of 1116921312 in words is "one billion, one hundred sixteen million, nine hundred twenty-one thousand, three hundred twelve".