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116306016 = 2536119861
BaseRepresentation
bin1101110111010…
…11000001100000
322002211221212020
412323223001200
5214233243031
615312501440
72611404411
oct673530140
9262757766
10116306016
115a719482
1232b4a880
131b132738
1411637808
15a326096
hex6eeb060

116306016 has 48 divisors (see below), whose sum is σ = 310323888. Its totient is φ = 38131200.

The previous prime is 116305999. The next prime is 116306039. The reversal of 116306016 is 610603611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 4075 + ... + 15786.

It is an arithmetic number, because the mean of its divisors is an integer number (6465081).

Almost surely, 2116306016 is an apocalyptic number.

116306016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116306016 is an abundant number, since it is smaller than the sum of its proper divisors (194017872).

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

116306016 is a wasteful number, since it uses less digits than its factorization.

116306016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19935 (or 19927 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 116306016 is about 10784.5266933695. The cubic root of 116306016 is about 488.1283815234.

Adding to 116306016 its reverse (610603611), we get a palindrome (726909627).

The spelling of 116306016 in words is "one hundred sixteen million, three hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 19861 39722 59583 79444 119166 158888 238332 317776 476664 635552 953328 1211521 1906656 2423042 3634563 4846084 7269126 9692168 14538252 19384336 29076504 38768672 58153008 116306016