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107727728 = 2431435051
BaseRepresentation
bin1100110101111…
…00101101110000
321111201010122212
412122330231300
5210034241403
614404551252
72445446003
oct632745560
9244633585
10107727728
115589a489
12300b2528
131941b024
141044353a
1596ce4d8
hex66bcb70

107727728 has 40 divisors (see below), whose sum is σ = 220509696. Its totient is φ = 50904000.

The previous prime is 107727709. The next prime is 107727731. The reversal of 107727728 is 827727701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18803 + ... + 23853.

Almost surely, 2107727728 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 107727728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110254848).

107727728 is an abundant number, since it is smaller than the sum of its proper divisors (112781968).

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

107727728 is a wasteful number, since it uses less digits than its factorization.

107727728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 76832, while the sum is 41.

The square root of 107727728 is about 10379.1968860794. The cubic root of 107727728 is about 475.8197891365.

The spelling of 107727728 in words is "one hundred seven million, seven hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 248 344 496 688 1333 2666 5051 5332 10102 10664 20204 21328 40408 80816 156581 217193 313162 434386 626324 868772 1252648 1737544 2505296 3475088 6732983 13465966 26931932 53863864 107727728