Search a number
-
+
604600040 = 235116432137
BaseRepresentation
bin100100000010010…
…111011011101000
31120010122212100002
4210002113123220
52214234200130
6135554402132
720661005222
oct4402273350
91503585302
10604600040
1129030aa60
1214a590348
1398349605
145a423412
153812ab45
hex240976e8

604600040 has 64 divisors (see below), whose sum is σ = 1487021760. Its totient is φ = 219409920.

The previous prime is 604599997. The next prime is 604600049. The reversal of 604600040 is 40006406.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 604599985 and 604600021.

It is not an unprimeable number, because it can be changed into a prime (604600049) 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 15 ways as a sum of consecutive naturals, for example, 281852 + ... + 283988.

It is an arithmetic number, because the mean of its divisors is an integer number (23234715).

Almost surely, 2604600040 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 604600040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743510880).

604600040 is an abundant number, since it is smaller than the sum of its proper divisors (882421720).

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

604600040 is a wasteful number, since it uses less digits than its factorization.

604600040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 604600040 is about 24588.6160651632. The cubic root of 604600040 is about 845.5826379811.

Adding to 604600040 its reverse (40006406), we get a palindrome (644606446).

The spelling of 604600040 in words is "six hundred four million, six hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 643 1286 2137 2572 3215 4274 5144 6430 7073 8548 10685 12860 14146 17096 21370 23507 25720 28292 35365 42740 47014 56584 70730 85480 94028 117535 141460 188056 235070 282920 470140 940280 1374091 2748182 5496364 6870455 10992728 13740910 15115001 27481820 30230002 54963640 60460004 75575005 120920008 151150010 302300020 604600040