Search a number
-
+
6000104 = 2311411663
BaseRepresentation
bin10110111000110111101000
3102021211121002
4112320313220
53014000404
6332334132
7102000005
oct26706750
912254532
106000104
113428a70
122014348
131321076
14b228ac
157d7c1e
hex5b8de8

6000104 has 32 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 2659200.

The previous prime is 6000103. The next prime is 6000109. The reversal of 6000104 is 4010006.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (6000101) 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 7 ways as a sum of consecutive naturals, for example, 2777 + ... + 4439.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 26000104 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 6000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

6000104 is an abundant number, since it is smaller than the sum of its proper divisors (6579736).

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

6000104 is a wasteful number, since it uses less digits than its factorization.

6000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 6000104 is about 2449.5109716023. The cubic root of 6000104 is about 181.7131091690.

The spelling of 6000104 in words is "six million, one hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 1663 1804 3326 3608 6652 13304 18293 36586 68183 73172 136366 146344 272732 545464 750013 1500026 3000052 6000104