Search a number
-
+
8070016 = 2767941
BaseRepresentation
bin11110110010001110000000
3120011222222111
4132302032000
54031220031
6444545104
7125410513
oct36621600
916158874
108070016
114612139
122852194
131897276
141100d7a
15a961b1
hex7b2380

8070016 has 32 divisors (see below), whose sum is σ = 16334280. Its totient is φ = 3970560.

The previous prime is 8070011. The next prime is 8070037. The reversal of 8070016 is 6100708.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8070011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8106 + ... + 9046.

Almost surely, 28070016 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 8070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167140).

8070016 is an abundant number, since it is smaller than the sum of its proper divisors (8264264).

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

8070016 is an equidigital number, since it uses as much as digits as its factorization.

8070016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 8070016 is about 2840.7773584003. Note that the first 3 decimals coincide. The cubic root of 8070016 is about 200.5817727282.

The spelling of 8070016 in words is "eight million, seventy thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 941 1072 1882 2144 3764 4288 7528 8576 15056 30112 60224 63047 120448 126094 252188 504376 1008752 2017504 4035008 8070016