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116109774 = 2351137587
BaseRepresentation
bin1101110101110…
…11000111001110
322002110222200000
412322323013032
5214211003044
615304345130
72606626314
oct672730716
9262428600
10116109774
115a5a4aa0
1232a751a6
131b094311
14115c60b4
15a2d7d69
hex6ebb1ce

116109774 has 96 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 34175520.

The previous prime is 116109769. The next prime is 116109797. The reversal of 116109774 is 477901611.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 197509 + ... + 198095.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2116109774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116109774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

116109774 is an abundant number, since it is smaller than the sum of its proper divisors (176686002).

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

116109774 is a wasteful number, since it uses less digits than its factorization.

116109774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 116109774 is about 10775.4245392003. The cubic root of 116109774 is about 487.8536888932.

The spelling of 116109774 in words is "one hundred sixteen million, one hundred nine thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 81 99 111 162 198 222 243 297 333 407 486 587 594 666 814 891 999 1174 1221 1761 1782 1998 2442 2673 2997 3522 3663 5283 5346 5994 6457 7326 8991 10566 10989 12914 15849 17982 19371 21719 21978 31698 32967 38742 43438 47547 58113 65157 65934 95094 98901 116226 130314 142641 174339 195471 197802 238909 285282 348678 390942 477818 523017 586413 716727 1046034 1172826 1433454 1569051 1759239 2150181 3138102 3518478 4300362 5277717 6450543 10555434 12901086 19351629 38703258 58054887 116109774