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107282916 = 223213229237
BaseRepresentation
bin1100110010100…
…00000111100100
321110212112111100
412121100013210
5204431023131
614351240100
72441614116
oct631200744
9243775440
10107282916
1155616274
122bb19030
13192c3720
14103693b6
1596427e6
hex66501e4

107282916 has 36 divisors (see below), whose sum is σ = 292049212. Its totient is φ = 33009984.

The previous prime is 107282899. The next prime is 107282921. The reversal of 107282916 is 619282701.

It can be written as a sum of positive squares in 2 ways, for example, as 55442916 + 51840000 = 7446^2 + 7200^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 114151 + ... + 115086.

Almost surely, 2107282916 is an apocalyptic number.

It is an amenable number.

107282916 is an abundant number, since it is smaller than the sum of its proper divisors (184766296).

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

107282916 is a wasteful number, since it uses less digits than its factorization.

107282916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229260 (or 229255 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 107282916 is about 10357.7466661432. The cubic root of 107282916 is about 475.1639928674.

The spelling of 107282916 in words is "one hundred seven million, two hundred eighty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 229237 458474 687711 916948 1375422 2063133 2750844 2980081 4126266 5960162 8252532 8940243 11920324 17880486 26820729 35760972 53641458 107282916