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804168 = 23341773
BaseRepresentation
bin11000100010101001000
31111212010000
43010111020
5201213133
625123000
76556341
oct3042510
91455100
10804168
114aa202
12329460
13222051
1416d0c8
1510d413
hexc4548

804168 has 80 divisors (see below), whose sum is σ = 2417580. Its totient is φ = 248832.

The previous prime is 804161. The next prime is 804179. The reversal of 804168 is 861408.

It can be written as a sum of positive squares in 2 ways, for example, as 777924 + 26244 = 882^2 + 162^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (804161) by changing a digit.

804168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10980 + ... + 11052.

2804168 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 804168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208790).

804168 is an abundant number, since it is smaller than the sum of its proper divisors (1613412).

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

804168 is a wasteful number, since it uses less digits than its factorization.

804168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 804168 is about 896.7541469098. The cubic root of 804168 is about 92.9927153503.

The spelling of 804168 in words is "eight hundred four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 73 81 102 108 136 146 153 162 204 216 219 292 306 324 408 438 459 584 612 648 657 876 918 1224 1241 1314 1377 1752 1836 1971 2482 2628 2754 3672 3723 3942 4964 5256 5508 5913 7446 7884 9928 11016 11169 11826 14892 15768 22338 23652 29784 33507 44676 47304 67014 89352 100521 134028 201042 268056 402084 804168