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116005743 = 337679161
BaseRepresentation
bin1101110101000…
…01101101101111
322002021200222000
412322201231233
5214144140433
615302223343
72606014110
oct672415557
9262250860
10116005743
115a533917
1232a24b53
131b058b69
141159a207
15a2b7113
hex6ea1b6f

116005743 has 32 divisors (see below), whose sum is σ = 199365120. Its totient is φ = 65292480.

The previous prime is 116005723. The next prime is 116005753. The reversal of 116005743 is 347500611.

116005743 is a `hidden beast` number, since 1 + 1 + 600 + 57 + 4 + 3 = 666.

It is not a de Polignac number, because 116005743 - 26 = 116005679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116005723) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8083 + ... + 17243.

It is an arithmetic number, because the mean of its divisors is an integer number (6230160).

Almost surely, 2116005743 is an apocalyptic number.

116005743 is a deficient number, since it is larger than the sum of its proper divisors (83359377).

116005743 is an equidigital number, since it uses as much as digits as its factorization.

116005743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9244 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 116005743 is about 10770.5962230510. The cubic root of 116005743 is about 487.7079444242.

The spelling of 116005743 in words is "one hundred sixteen million, five thousand, seven hundred forty-three".

Divisors: 1 3 7 9 21 27 63 67 189 201 469 603 1407 1809 4221 9161 12663 27483 64127 82449 192381 247347 577143 613787 1731429 1841361 4296509 5524083 12889527 16572249 38668581 116005743