Search a number
-
+
8066736 = 243371263
BaseRepresentation
bin11110110001011010110000
3120011211111000
4132301122300
54031113421
6444522000
7125365116
oct36613260
916154430
108066736
11460a727
122850300
131895922
1410ddab6
15a95226
hex7b16b0

8066736 has 80 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 2640960.

The previous prime is 8066717. The next prime is 8066749. The reversal of 8066736 is 6376608.

It is a happy number.

8066736 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8066736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30541 + ... + 30803.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 28066736 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 8066736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

8066736 is an abundant number, since it is smaller than the sum of its proper divisors (15503184).

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

8066736 is a wasteful number, since it uses less digits than its factorization.

8066736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 8066736 is about 2840.1999929582. The cubic root of 8066736 is about 200.5545940391.

The spelling of 8066736 in words is "eight million, sixty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 263 284 426 432 526 568 639 789 852 1052 1136 1278 1578 1704 1917 2104 2367 2556 3156 3408 3834 4208 4734 5112 6312 7101 7668 9468 10224 12624 14202 15336 18673 18936 28404 30672 37346 37872 56019 56808 74692 112038 113616 149384 168057 224076 298768 336114 448152 504171 672228 896304 1008342 1344456 2016684 2688912 4033368 8066736