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107768528 = 2478311593
BaseRepresentation
bin1100110110001…
…10101011010000
321111210012121222
412123012223100
5210042043103
614405504212
72446005650
oct633065320
9244705558
10107768528
11559180aa
1230112068
131943377a
1410454360
1596db638
hex66c6ad0

107768528 has 40 divisors (see below), whose sum is σ = 241526208. Its totient is φ = 45626112.

The previous prime is 107768497. The next prime is 107768537. The reversal of 107768528 is 825867701.

It is a super-2 number, since 2×1077685282 = 23228111254573568, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3500 + ... + 15092.

Almost surely, 2107768528 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 107768528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120763104).

107768528 is an abundant number, since it is smaller than the sum of its proper divisors (133757680).

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

107768528 is a wasteful number, since it uses less digits than its factorization.

107768528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11691 (or 11685 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The square root of 107768528 is about 10381.1621700077. The cubic root of 107768528 is about 475.8798510396.

The spelling of 107768528 in words is "one hundred seven million, seven hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1328 2324 4648 9296 11593 23186 46372 81151 92744 162302 185488 324604 649208 962219 1298416 1924438 3848876 6735533 7697752 13471066 15395504 26942132 53884264 107768528