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8116128 = 253228181
BaseRepresentation
bin11110111101011110100000
3120021100020100
4132331132200
54034204003
6445542400
7125662116
oct36753640
916240210
108116128
114643849
122874a00
1318b2257
141113ab6
15aa4ba3
hex7bd7a0

8116128 has 36 divisors (see below), whose sum is σ = 23081058. Its totient is φ = 2705280.

The previous prime is 8116127. The next prime is 8116133. The reversal of 8116128 is 8216118.

It can be written as a sum of positive squares in only one way, i.e., 5253264 + 2862864 = 2292^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8116127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13803 + ... + 14378.

Almost surely, 28116128 is an apocalyptic number.

It is an amenable number.

8116128 is an abundant number, since it is smaller than the sum of its proper divisors (14964930).

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

8116128 is a wasteful number, since it uses less digits than its factorization.

8116128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28197 (or 28186 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 8116128 is about 2848.8818859335. The cubic root of 8116128 is about 200.9630881948.

The spelling of 8116128 in words is "eight million, one hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28181 56362 84543 112724 169086 225448 253629 338172 450896 507258 676344 901792 1014516 1352688 2029032 2705376 4058064 8116128