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8066968 = 2372131583
BaseRepresentation
bin11110110001011110011000
3120011211210121
4132301132120
54031120333
6444523024
7125365600
oct36613630
916154717
108066968
11460a918
122850474
131895a70
1410ddc00
15a9532d
hex7b1798

8066968 has 48 divisors (see below), whose sum is σ = 18960480. Its totient is φ = 3189312.

The previous prime is 8066923. The next prime is 8066969. The reversal of 8066968 is 8696608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8066969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4305 + ... + 5887.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 28066968 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 8066968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480240).

8066968 is an abundant number, since it is smaller than the sum of its proper divisors (10893512).

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

8066968 is a wasteful number, since it uses less digits than its factorization.

8066968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 8066968 is about 2840.2408348589. The cubic root of 8066968 is about 200.5565166763.

The spelling of 8066968 in words is "eight million, sixty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 1583 2548 3166 5096 6332 11081 12664 20579 22162 41158 44324 77567 82316 88648 144053 155134 164632 288106 310268 576212 620536 1008371 1152424 2016742 4033484 8066968