Search a number
-
+
8197056 = 2632719107
BaseRepresentation
bin11111010001001111000000
3120102110020200
4133101033000
54044301211
6451405200
7126450060
oct37211700
916373220
108197056
11469962a
1228b3800
13191003a
1411353a0
15abdb56
hex7d13c0

8197056 has 168 divisors, whose sum is σ = 28529280. Its totient is φ = 2198016.

The previous prime is 8197031. The next prime is 8197069. The reversal of 8197056 is 6507918.

It is a tau number, because it is divible by the number of its divisors (168).

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 8197056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76555 + ... + 76661.

Almost surely, 28197056 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 8197056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264640).

8197056 is an abundant number, since it is smaller than the sum of its proper divisors (20332224).

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

8197056 is a wasteful number, since it uses less digits than its factorization.

8197056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 8197056 is about 2863.0501218107. The cubic root of 8197056 is about 201.6288318552.

It can be divided in two parts, 819 and 7056, that added together give a triangular number (7875 = T125).

The spelling of 8197056 in words is "eight million, one hundred ninety-seven thousand, fifty-six".