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116016048 = 24322321523
BaseRepresentation
bin1101110101001…
…00001110110000
322002022020002200
412322210032300
5214200003143
615302343200
72606056131
oct672441660
9262266080
10116016048
115a540635
1232a2ab00
131b060765
141159dc88
15a2ba1d3
hex6ea43b0

116016048 has 90 divisors (see below), whose sum is σ = 339637116. Its totient is φ = 36966336.

The previous prime is 116016031. The next prime is 116016067. The reversal of 116016048 is 840610611.

116016048 is a `hidden beast` number, since 11 + 601 + 6 + 0 + 48 = 666.

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 17 ways as a sum of consecutive naturals, for example, 75415 + ... + 76937.

Almost surely, 2116016048 is an apocalyptic number.

116016048 is a gapful number since it is divisible by the number (18) 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 116016048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169818558).

116016048 is an abundant number, since it is smaller than the sum of its proper divisors (223621068).

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

116016048 is a wasteful number, since it uses less digits than its factorization.

116016048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116016048 is about 10771.0745982005. The cubic root of 116016048 is about 487.7223853230.

Adding to 116016048 its reverse (840610611), we get a palindrome (956626659).

The spelling of 116016048 in words is "one hundred sixteen million, sixteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 529 552 828 1058 1104 1523 1587 1656 2116 3046 3174 3312 4232 4569 4761 6092 6348 8464 9138 9522 12184 12696 13707 18276 19044 24368 25392 27414 35029 36552 38088 54828 70058 73104 76176 105087 109656 140116 210174 219312 280232 315261 420348 560464 630522 805667 840696 1261044 1611334 1681392 2417001 2522088 3222668 4834002 5044176 6445336 7251003 9668004 12890672 14502006 19336008 29004012 38672016 58008024 116016048