Search a number
-
+
8056980 = 22325172633
BaseRepresentation
bin11110101111000010010100
3120011100002200
4132233002110
54030310410
6444404500
7125324511
oct36570224
916140080
108056980
114603368
122846730
131891359
1410da308
15a923c0
hex7af094

8056980 has 72 divisors (see below), whose sum is σ = 25886952. Its totient is φ = 2021376.

The previous prime is 8056957. The next prime is 8056991. The reversal of 8056980 is 896508.

8056980 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 636804 + 7420176 = 798^2 + 2724^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1744 + ... + 4376.

It is an arithmetic number, because the mean of its divisors is an integer number (359541).

Almost surely, 28056980 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 8056980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943476).

8056980 is an abundant number, since it is smaller than the sum of its proper divisors (17829972).

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

8056980 is a wasteful number, since it uses less digits than its factorization.

8056980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8056980 is about 2838.4819886693. The cubic root of 8056980 is about 200.4737104396.

The spelling of 8056980 in words is "eight million, fifty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 2633 3060 5266 7899 10532 13165 15798 23697 26330 31596 39495 44761 47394 52660 78990 89522 94788 118485 134283 157980 179044 223805 236970 268566 402849 447610 473940 537132 671415 805698 895220 1342830 1611396 2014245 2685660 4028490 8056980