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106594048 = 281137853
BaseRepresentation
bin1100101101001…
…11111100000000
321102120112112201
412112213330000
5204242002143
614324402544
72433014551
oct626477400
9242515481
10106594048
1155195760
122b846454
1319112002
141022a328
15955864d
hex65a7f00

106594048 has 36 divisors (see below), whose sum is σ = 232120728. Its totient is φ = 48450560.

The previous prime is 106594001. The next prime is 106594067. The reversal of 106594048 is 840495601.

It is a happy number.

It is a super-2 number, since 2×1065940482 = 22724582138052608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106593998 and 106594016.

It is a congruent number.

It is an unprimeable number.

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, 16111 + ... + 21742.

It is an arithmetic number, because the mean of its divisors is an integer number (6447798).

Almost surely, 2106594048 is an apocalyptic number.

It is an amenable number.

106594048 is an abundant number, since it is smaller than the sum of its proper divisors (125526680).

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

106594048 is an equidigital number, since it uses as much as digits as its factorization.

106594048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37880 (or 37866 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 106594048 is about 10324.4393552386. The cubic root of 106594048 is about 474.1447924788.

The spelling of 106594048 in words is "one hundred six million, five hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 37853 75706 151412 302824 416383 605648 832766 1211296 1665532 2422592 3331064 4845184 6662128 9690368 13324256 26648512 53297024 106594048