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8112128 = 21117233
BaseRepresentation
bin11110111100100000000000
3120021010202012
4132330200000
54034042003
6445512052
7125644343
oct36744000
916233665
108112128
114640842
122872628
1318b049b
14111245a
15aa38d8
hex7bc800

8112128 has 48 divisors (see below), whose sum is σ = 17248140. Its totient is φ = 3801088.

The previous prime is 8112119. The next prime is 8112133. The reversal of 8112128 is 8212118.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8111104 + 1024 = 2848^2 + 32^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34700 + ... + 34932.

Almost surely, 28112128 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 8112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624070).

8112128 is an abundant number, since it is smaller than the sum of its proper divisors (9136012).

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

8112128 is a wasteful number, since it uses less digits than its factorization.

8112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its digits is 256, while the sum is 23.

The square root of 8112128 is about 2848.1797696072. The cubic root of 8112128 is about 200.9300681616.

The spelling of 8112128 in words is "eight million, one hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 233 256 272 466 512 544 932 1024 1088 1864 2048 2176 3728 3961 4352 7456 7922 8704 14912 15844 17408 29824 31688 34816 59648 63376 119296 126752 238592 253504 477184 507008 1014016 2028032 4056064 8112128