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604040040 = 2332514911261
BaseRepresentation
bin100100000000001…
…110101101101000
31120002121102011100
4210000032231220
52214113240130
6135534401400
720653153452
oct4400165550
91502542140
10604040040
1128aa6824a
1214a360260
13981b1756
145a3192d2
1538069c60
hex2400eb68

604040040 has 96 divisors (see below), whose sum is σ = 1976481000. Its totient is φ = 159982080.

The previous prime is 604040029. The next prime is 604040051. The reversal of 604040040 is 40040406.

It is an interprime number because it is at equal distance from previous prime (604040029) and next prime (604040051).

It can be written as a sum of positive squares in 4 ways, for example, as 538332804 + 65707236 = 23202^2 + 8106^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 604039995 and 604040022.

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, 48010 + ... + 59270.

Almost surely, 2604040040 is an apocalyptic number.

604040040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 604040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988240500).

604040040 is an abundant number, since it is smaller than the sum of its proper divisors (1372440960).

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

604040040 is a wasteful number, since it uses less digits than its factorization.

604040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11427 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 604040040 is about 24577.2260436364. The cubic root of 604040040 is about 845.3214887256.

Adding to 604040040 its reverse (40040406), we get a palindrome (644080446).

It can be divided in two parts, 60 and 4040040, that added together give a square (4040100 = 20102).

The spelling of 604040040 in words is "six hundred four million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 447 596 745 894 1192 1341 1490 1788 2235 2682 2980 3576 4470 5364 5960 6705 8940 10728 11261 13410 17880 22522 26820 33783 45044 53640 56305 67566 90088 101349 112610 135132 168915 202698 225220 270264 337830 405396 450440 506745 675660 810792 1013490 1351320 1677889 2026980 3355778 4053960 5033667 6711556 8389445 10067334 13423112 15101001 16778890 20134668 25168335 30202002 33557780 40269336 50336670 60404004 67115560 75505005 100673340 120808008 151010010 201346680 302020020 604040040