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116680729 = 11191673343
BaseRepresentation
bin1101111010001…
…10100000011001
322010112222212111
412331012200121
5214332240404
615324512321
72614525024
oct675064031
9263488774
10116680729
115a954a60
12330ab6a1
131b234169
14116d41bb
15a39c104
hex6f46819

116680729 has 16 divisors (see below), whose sum is σ = 134830080. Its totient is φ = 99858960.

The previous prime is 116680727. The next prime is 116680757. The reversal of 116680729 is 927086611.

It is a cyclic number.

It is not a de Polignac number, because 116680729 - 21 = 116680727 is a prime.

It is a super-2 number, since 2×1166807292 = 27228785039942882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116680691 and 116680700.

It is not an unprimeable number, because it can be changed into a prime (116680723) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33232 + ... + 36574.

It is an arithmetic number, because the mean of its divisors is an integer number (8426880).

Almost surely, 2116680729 is an apocalyptic number.

116680729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

116680729 is a deficient number, since it is larger than the sum of its proper divisors (18149351).

116680729 is a wasteful number, since it uses less digits than its factorization.

116680729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540.

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 116680729 is about 10801.8854372744. The cubic root of 116680729 is about 488.6520344899.

The spelling of 116680729 in words is "one hundred sixteen million, six hundred eighty thousand, seven hundred twenty-nine".

Divisors: 1 11 19 167 209 1837 3173 3343 34903 36773 63517 558281 698687 6141091 10607339 116680729