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8380116 = 22321713693
BaseRepresentation
bin11111111101111011010100
3120202202100200
4133331323110
54121130431
6455340500
7131141553
oct37757324
916682320
108380116
114804118
122981730
131975464
141181d9a
15b07ee6
hex7fded4

8380116 has 36 divisors (see below), whose sum is σ = 22430772. Its totient is φ = 2628864.

The previous prime is 8380111. The next prime is 8380123. The reversal of 8380116 is 6110838.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 562500 = 2796^2 + 750^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8380116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8380111) 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 11 ways as a sum of consecutive naturals, for example, 6235 + ... + 7458.

It is an arithmetic number, because the mean of its divisors is an integer number (623077).

Almost surely, 28380116 is an apocalyptic number.

It is an amenable number.

8380116 is an abundant number, since it is smaller than the sum of its proper divisors (14050656).

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

8380116 is a wasteful number, since it uses less digits than its factorization.

8380116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13715 counting only the distinct ones).

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

The square root of 8380116 is about 2894.8430009242. The cubic root of 8380116 is about 203.1187476103.

The spelling of 8380116 in words is "eight million, three hundred eighty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 13693 27386 41079 54772 82158 123237 164316 232781 246474 465562 492948 698343 931124 1396686 2095029 2793372 4190058 8380116