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116783104 = 211127449
BaseRepresentation
bin1101111010111…
…11100000000000
322010202012022011
412331133200000
5214344024404
615331022304
72615432344
oct675374000
9263665264
10116783104
115aa14969
123313a994
131b26b939
141171d624
15a3bc604
hex6f5f800

116783104 has 48 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 57802752.

The previous prime is 116783083. The next prime is 116783111. The reversal of 116783104 is 401387611.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 259872 + ... + 260320.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2116783104 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 116783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

116783104 is an abundant number, since it is smaller than the sum of its proper divisors (119088896).

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

116783104 is an equidigital number, since it uses as much as digits as its factorization.

116783104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 116783104 is about 10806.6231543438. The cubic root of 116783104 is about 488.7949062072.

The spelling of 116783104 in words is "one hundred sixteen million, seven hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 449 508 512 898 1016 1024 1796 2032 2048 3592 4064 7184 8128 14368 16256 28736 32512 57023 57472 65024 114046 114944 130048 228092 229888 260096 456184 459776 912368 919552 1824736 3649472 7298944 14597888 29195776 58391552 116783104