Search a number
-
+
8260056 = 23357607
BaseRepresentation
bin11111100000100111011000
3120112122200000
4133200213120
54103310211
6453013000
7130131540
oct37404730
916478600
108260056
1147319a2
122924160
13193290c
141150320
15ad2656
hex7e09d8

8260056 has 96 divisors (see below), whose sum is σ = 26557440. Its totient is φ = 2356128.

The previous prime is 8260051. The next prime is 8260061. The reversal of 8260056 is 6500628.

8260056 is a `hidden beast` number, since 8 + 2 + 600 + 56 = 666.

8260056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8260051) and next prime (8260061).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8260051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13305 + ... + 13911.

It is an arithmetic number, because the mean of its divisors is an integer number (276640).

Almost surely, 28260056 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 8260056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278720).

8260056 is an abundant number, since it is smaller than the sum of its proper divisors (18297384).

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

8260056 is a wasteful number, since it uses less digits than its factorization.

8260056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

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

The square root of 8260056 is about 2874.0313150695. The cubic root of 8260056 is about 202.1440661002.

The spelling of 8260056 in words is "eight million, two hundred sixty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 607 648 756 972 1134 1214 1512 1701 1821 1944 2268 2428 3402 3642 4249 4536 4856 5463 6804 7284 8498 10926 12747 13608 14568 16389 16996 21852 25494 32778 33992 38241 43704 49167 50988 65556 76482 98334 101976 114723 131112 147501 152964 196668 229446 295002 305928 344169 393336 458892 590004 688338 917784 1032507 1180008 1376676 2065014 2753352 4130028 8260056