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106056048 = 2437315643
BaseRepresentation
bin1100101001001…
…00100101110000
321101120012112210
412110210211300
5204122243143
614305052120
72425314210
oct624444560
9241505483
10106056048
115495852a
122b627040
1318c84177
141012a240
15949e033
hex6524970

106056048 has 40 divisors (see below), whose sum is σ = 313118848. Its totient is φ = 30301632.

The previous prime is 106056031. The next prime is 106056061. The reversal of 106056048 is 840650601.

It is a super-2 number, since 2×1060560482 = 22495770634756608, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 157486 + ... + 158157.

Almost surely, 2106056048 is an apocalyptic number.

It is an amenable number.

106056048 is an abundant number, since it is smaller than the sum of its proper divisors (207062800).

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

106056048 is a wasteful number, since it uses less digits than its factorization.

106056048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315661 (or 315655 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106056048 is about 10298.3517127742. The cubic root of 106056048 is about 473.3457476521.

It can be divided in two parts, 10605 and 6048, that added together give a triangular number (16653 = T182).

The spelling of 106056048 in words is "one hundred six million, fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 315643 631286 946929 1262572 1893858 2209501 2525144 3787716 4419002 5050288 6628503 7575432 8838004 13257006 15150864 17676008 26514012 35352016 53028024 106056048