Search a number
-
+
8056260 = 223454973
BaseRepresentation
bin11110101110110111000100
3120011022010000
4132232313010
54030300020
6444401300
7125322432
oct36566704
916138100
108056260
114602873
122846230
131890c24
1410d9d52
15a92090
hex7aedc4

8056260 has 60 divisors (see below), whose sum is σ = 25277868. Its totient is φ = 2147904.

The previous prime is 8056259. The next prime is 8056261. The reversal of 8056260 is 626508.

It is an interprime number because it is at equal distance from previous prime (8056259) and next prime (8056261).

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 3992004 = 2016^2 + 1998^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8056261) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 867 + ... + 4106.

Almost surely, 28056260 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 8056260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12638934).

8056260 is an abundant number, since it is smaller than the sum of its proper divisors (17221608).

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

8056260 is a wasteful number, since it uses less digits than its factorization.

8056260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8056260 is about 2838.3551574812. The cubic root of 8056260 is about 200.4677385837.

The spelling of 8056260 in words is "eight million, fifty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4973 9946 14919 19892 24865 29838 44757 49730 59676 74595 89514 99460 134271 149190 179028 223785 268542 298380 402813 447570 537084 671355 805626 895140 1342710 1611252 2014065 2685420 4028130 8056260