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106849072 = 2411607097
BaseRepresentation
bin1100101111001…
…10001100110000
321110001111101001
412113212030300
5204323132242
614334051344
72435126221
oct627461460
9243044331
10106849072
115534a320
122b949b54
13191a1105
1410295248
1595a8eb7
hex65e6330

106849072 has 20 divisors (see below), whose sum is σ = 225840456. Its totient is φ = 48567680.

The previous prime is 106849051. The next prime is 106849073. The reversal of 106849072 is 270948601.

It is a super-2 number, since 2×1068490722 = 22833448374522368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106849073) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 303373 + ... + 303724.

Almost surely, 2106849072 is an apocalyptic number.

It is an amenable number.

106849072 is an abundant number, since it is smaller than the sum of its proper divisors (118991384).

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

106849072 is a wasteful number, since it uses less digits than its factorization.

106849072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607116 (or 607110 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 106849072 is about 10336.7824781215. The cubic root of 106849072 is about 474.5226184466.

The spelling of 106849072 in words is "one hundred six million, eight hundred forty-nine thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 607097 1214194 2428388 4856776 6678067 9713552 13356134 26712268 53424536 106849072