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850113540 = 22325291491093
BaseRepresentation
bin110010101010111…
…011010000000100
32012020122020112200
4302222323100010
53220112113130
6220204514500
730031563063
oct6252732004
92166566480
10850113540
113a6959981
121b884ba30
1310717ab83
1480c921da
154e975760
hex32abb404

850113540 has 144 divisors (see below), whose sum is σ = 2687958000. Its totient is φ = 217211904.

The previous prime is 850113521. The next prime is 850113547. The reversal of 850113540 is 45311058.

850113540 is a `hidden beast` number, since 8 + 5 + 0 + 113 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2604996 + 847508544 = 1614^2 + 29112^2 .

It is not an unprimeable number, because it can be changed into a prime (850113547) 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 47 ways as a sum of consecutive naturals, for example, 777234 + ... + 778326.

It is an arithmetic number, because the mean of its divisors is an integer number (18666375).

Almost surely, 2850113540 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 850113540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343979000).

850113540 is an abundant number, since it is smaller than the sum of its proper divisors (1837844460).

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

850113540 is a wasteful number, since it uses less digits than its factorization.

850113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 850113540 is about 29156.7066041417. The cubic root of 850113540 is about 947.3104128907.

Adding to 850113540 its reverse (45311058), we get a palindrome (895424598).

The spelling of 850113540 in words is "eight hundred fifty million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 149 174 180 261 290 298 348 435 447 522 580 596 745 870 894 1044 1093 1305 1341 1490 1740 1788 2186 2235 2610 2682 2980 3279 4321 4372 4470 5220 5364 5465 6558 6705 8642 8940 9837 10930 12963 13116 13410 16395 17284 19674 21605 21860 25926 26820 31697 32790 38889 39348 43210 49185 51852 63394 64815 65580 77778 86420 95091 98370 126788 129630 155556 158485 162857 190182 194445 196740 259260 285273 316970 325714 380364 388890 475455 488571 570546 633940 651428 777780 814285 950910 977142 1141092 1426365 1465713 1628570 1901820 1954284 2442855 2852730 2931426 3257140 4722853 4885710 5705460 5862852 7328565 9445706 9771420 14168559 14657130 18891412 23614265 28337118 29314260 42505677 47228530 56674236 70842795 85011354 94457060 141685590 170022708 212528385 283371180 425056770 850113540