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8106016 = 25432137
BaseRepresentation
bin11110111011000000100000
3120020211100211
4132323000200
54033343031
6445423504
7125620462
oct36730040
916224324
108106016
114637196
12286ab94
1318aa779
141110132
15aa1bb1
hex7bb020

8106016 has 36 divisors (see below), whose sum is σ = 16457742. Its totient is φ = 3929856.

The previous prime is 8106011. The next prime is 8106017. The reversal of 8106016 is 6106018.

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 1449616 = 2580^2 + 1204^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8106011) 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, 59100 + ... + 59236.

Almost surely, 28106016 is an apocalyptic number.

8106016 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228871).

8106016 is an abundant number, since it is smaller than the sum of its proper divisors (8351726).

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

8106016 is a wasteful number, since it uses less digits than its factorization.

8106016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 8106016 is about 2847.1066014465. The cubic root of 8106016 is about 200.8795925801.

The spelling of 8106016 in words is "eight million, one hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 43 86 137 172 274 344 548 688 1096 1376 1849 2192 3698 4384 5891 7396 11782 14792 23564 29584 47128 59168 94256 188512 253313 506626 1013252 2026504 4053008 8106016