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116166276 = 22323226841
BaseRepresentation
bin1101110110010…
…00111010000100
322002120212011200
412323020322010
5214214310101
615305502500
72610253122
oct673107204
9262525150
10116166276
115a633496
1232aa1a30
131b0b3c55
14115dc912
15a2e9986
hex6ec8e84

116166276 has 18 divisors (see below), whose sum is σ = 293642622. Its totient is φ = 38722080.

The previous prime is 116166251. The next prime is 116166283. The reversal of 116166276 is 672661611.

116166276 is a `hidden beast` number, since 1 + 16 + 16 + 627 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116122176 + 44100 = 10776^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3226841 = 116166276 / (1 + 1 + 6 + 1 + 6 + 6 + 2 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 116166276.

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 5 ways as a sum of consecutive naturals, for example, 1613385 + ... + 1613456.

It is an arithmetic number, because the mean of its divisors is an integer number (16313479).

Almost surely, 2116166276 is an apocalyptic number.

It is an amenable number.

116166276 is an abundant number, since it is smaller than the sum of its proper divisors (177476346).

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

116166276 is a wasteful number, since it uses less digits than its factorization.

116166276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226851 (or 3226846 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 116166276 is about 10778.0460195715. The cubic root of 116166276 is about 487.9328101080.

The spelling of 116166276 in words is "one hundred sixteen million, one hundred sixty-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 3226841 6453682 9680523 12907364 19361046 29041569 38722092 58083138 116166276