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116012160 = 27325111831
BaseRepresentation
bin1101110101000…
…11010010000000
322002022000202200
412322203102000
5214144342120
615302313200
72606041605
oct672432200
9262260680
10116012160
115a538720
1232a28800
131b05ba64
141159c6ac
15a2b8e90
hex6ea3480

116012160 has 192 divisors, whose sum is σ = 437261760. Its totient is φ = 28108800.

The previous prime is 116012147. The next prime is 116012189. The reversal of 116012160 is 61210611.

116012160 is a `hidden beast` number, since 1 + 1 + 601 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62445 + ... + 64275.

It is an arithmetic number, because the mean of its divisors is an integer number (2277405).

Almost surely, 2116012160 is an apocalyptic number.

116012160 is a gapful number since it is divisible by the number (10) 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 116012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218630880).

116012160 is an abundant number, since it is smaller than the sum of its proper divisors (321249600).

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

116012160 is a wasteful number, since it uses less digits than its factorization.

116012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 116012160 is about 10770.8941133037. The cubic root of 116012160 is about 487.7169369795.

Adding to 116012160 its reverse (61210611), we get a palindrome (177222771).

The spelling of 116012160 in words is "one hundred sixteen million, twelve thousand, one hundred sixty".