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106378728 = 23329152843
BaseRepresentation
bin1100101011100…
…11010111101000
321102011121011220
412111303113220
5204213104403
614320022040
72431130031
oct625632750
9242147156
10106378728
1155058a05
122b761920
1319067cc1
14101b1a88
159514953
hex65735e8

106378728 has 32 divisors (see below), whose sum is σ = 275119200. Its totient is φ = 34236608.

The previous prime is 106378717. The next prime is 106378729. The reversal of 106378728 is 827873601.

It is a super-2 number, since 2×1063787282 = 22632867541795968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106378728.

It is not an unprimeable number, because it can be changed into a prime (106378729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75726 + ... + 77117.

It is an arithmetic number, because the mean of its divisors is an integer number (8597475).

Almost surely, 2106378728 is an apocalyptic number.

It is an amenable number.

106378728 is an abundant number, since it is smaller than the sum of its proper divisors (168740472).

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

106378728 is a wasteful number, since it uses less digits than its factorization.

106378728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152881 (or 152877 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 106378728 is about 10314.0063990672. The cubic root of 106378728 is about 473.8253197428.

The spelling of 106378728 in words is "one hundred six million, three hundred seventy-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 152843 305686 458529 611372 917058 1222744 1834116 3668232 4432447 8864894 13297341 17729788 26594682 35459576 53189364 106378728