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600009930 = 234513192999
BaseRepresentation
bin100011110000110…
…110110011001010
31112211000122220000
4203300312303022
52212100304210
6135312143430
720604000042
oct4360666312
91484018800
10600009930
11288765383
12148b37b76
1397400280
145998a722
1537a20ac0
hex23c36cca

600009930 has 160 divisors (see below), whose sum is σ = 1829520000. Its totient is φ = 139874688.

The previous prime is 600009919. The next prime is 600009959. The reversal of 600009930 is 39900006.

600009930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 600009894 and 600009903.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 198571 + ... + 201569.

It is an arithmetic number, because the mean of its divisors is an integer number (11434500).

Almost surely, 2600009930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 600009930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914760000).

600009930 is an abundant number, since it is smaller than the sum of its proper divisors (1229510070).

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

600009930 is a wasteful number, since it uses less digits than its factorization.

600009930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 600009930 is about 24495.1001222694. The cubic root of 600009930 is about 843.4373182130.

Adding to 600009930 its reverse (39900006), we get a palindrome (639909936).

The spelling of 600009930 in words is "six hundred million, nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 81 90 95 114 117 130 135 162 171 190 195 234 247 270 285 342 351 390 405 494 513 570 585 702 741 810 855 1026 1053 1170 1235 1482 1539 1710 1755 2106 2223 2470 2565 2999 3078 3510 3705 4446 5130 5265 5998 6669 7410 7695 8997 10530 11115 13338 14995 15390 17994 20007 22230 26991 29990 33345 38987 40014 44985 53982 56981 66690 77974 80973 89970 100035 113962 116961 134955 161946 170943 194935 200070 233922 242919 269910 284905 341886 350883 389870 404865 485838 512829 569810 584805 701766 740753 809730 854715 1025658 1052649 1169610 1214595 1481506 1538487 1709430 1754415 2105298 2222259 2429190 2564145 3076974 3157947 3508830 3703765 4444518 4615461 5128290 5263245 6315894 6666777 7407530 7692435 9230922 10526490 11111295 13333554 15384870 15789735 20000331 22222590 23077305 31579470 33333885 40000662 46154610 60000993 66667770 100001655 120001986 200003310 300004965 600009930