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106632264 = 23312593529
BaseRepresentation
bin1100101101100…
…01010001001000
321102122110222010
412112301101020
5204244213024
614325255520
72433234144
oct626612110
9242573863
10106632264
1155211442
122b8645a0
131912651b
141023a224
159564b29
hex65b1448

106632264 has 32 divisors (see below), whose sum is σ = 266868000. Its totient is φ = 35505792.

The previous prime is 106632263. The next prime is 106632271. The reversal of 106632264 is 462236601.

It is a super-2 number, since 2×1066322642 = 22740879451531392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106632263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28452 + ... + 31980.

It is an arithmetic number, because the mean of its divisors is an integer number (8339625).

Almost surely, 2106632264 is an apocalyptic number.

It is an amenable number.

106632264 is an abundant number, since it is smaller than the sum of its proper divisors (160235736).

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

106632264 is a wasteful number, since it uses less digits than its factorization.

106632264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 106632264 is about 10326.2899436342. The cubic root of 106632264 is about 474.2014490268.

Adding to 106632264 its reverse (462236601), we get a palindrome (568868865).

The spelling of 106632264 in words is "one hundred six million, six hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 1259 2518 3529 3777 5036 7058 7554 10072 10587 14116 15108 21174 28232 30216 42348 84696 4443011 8886022 13329033 17772044 26658066 35544088 53316132 106632264