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106546048 = 277118913
BaseRepresentation
bin1100101100111…
…00001110000000
321102111002200221
412112130032000
5204233433143
614323352424
72432424610
oct626341600
9242432627
10106546048
1155162694
122b822714
13190c61cb
1410216a40
1595492ed
hex659c380

106546048 has 32 divisors (see below), whose sum is σ = 242584560. Its totient is φ = 45662208.

The previous prime is 106546031. The next prime is 106546049. The reversal of 106546048 is 840645601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1065460482 = 22704120688836608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106546049) 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 3 ways as a sum of consecutive naturals, for example, 58561 + ... + 60352.

Almost surely, 2106546048 is an apocalyptic number.

It is an amenable number.

106546048 is an abundant number, since it is smaller than the sum of its proper divisors (136038512).

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

106546048 is an equidigital number, since it uses as much as digits as its factorization.

106546048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118934 (or 118922 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 106546048 is about 10322.1145120561. The cubic root of 106546048 is about 474.0736116218.

The spelling of 106546048 in words is "one hundred six million, five hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 118913 237826 475652 832391 951304 1664782 1902608 3329564 3805216 6659128 7610432 13318256 15220864 26636512 53273024 106546048