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106230608 = 24112772179
BaseRepresentation
bin1100101010011…
…11001101010000
321101220001222222
412111033031100
5204143334413
614312520212
72426642141
oct625171520
9241801888
10106230608
1154a676a0
122b6b0068
1319015763
1410173ac8
1594d5b08
hex654f350

106230608 has 40 divisors (see below), whose sum is σ = 225446880. Its totient is φ = 48090240.

The previous prime is 106230601. The next prime is 106230623. The reversal of 106230608 is 806032601.

It is a super-2 number, since 2×1062306082 = 22569884152099328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106230601) 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 7 ways as a sum of consecutive naturals, for example, 47663 + ... + 49841.

It is an arithmetic number, because the mean of its divisors is an integer number (5636172).

Almost surely, 2106230608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106230608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112723440).

106230608 is an abundant number, since it is smaller than the sum of its proper divisors (119216272).

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

106230608 is a wasteful number, since it uses less digits than its factorization.

106230608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 106230608 is about 10306.8233709519. The cubic root of 106230608 is about 473.6053020544.

The spelling of 106230608 in words is "one hundred six million, two hundred thirty thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 277 554 1108 2179 2216 3047 4358 4432 6094 8716 12188 17432 23969 24376 34864 47938 48752 95876 191752 383504 603583 1207166 2414332 4828664 6639413 9657328 13278826 26557652 53115304 106230608