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107065512 = 23325328057
BaseRepresentation
bin1100110000110…
…11000010101000
321110110111021100
412120123002220
5204402044022
614342441400
72440020231
oct630330250
9243414240
10107065512
11554879a4
122ba33260
1319248798
1410310088
1595ed1ac
hex661b0a8

107065512 has 48 divisors (see below), whose sum is σ = 295450740. Its totient is φ = 35013888.

The previous prime is 107065501. The next prime is 107065549. The reversal of 107065512 is 215560701.

107065512 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 655 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105144516 + 1920996 = 10254^2 + 1386^2 .

It is a super-2 number, since 2×1070655122 = 22926047719644288, which contains 22 as substring.

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, 10213 + ... + 17844.

Almost surely, 2107065512 is an apocalyptic number.

107065512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107065512 is an abundant number, since it is smaller than the sum of its proper divisors (188385228).

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

107065512 is a wasteful number, since it uses less digits than its factorization.

107065512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28122 (or 28115 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 107065512 is about 10347.2465902770. The cubic root of 107065512 is about 474.8428096677.

The spelling of 107065512 in words is "one hundred seven million, sixty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 28057 56114 84171 112228 168342 224456 252513 336684 505026 673368 1010052 1487021 2020104 2974042 4461063 5948084 8922126 11896168 13383189 17844252 26766378 35688504 53532756 107065512