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6052303040 = 26574615861
BaseRepresentation
bin1011010001011111…
…01101000011000000
3120121210110211221212
411220233231003000
544343342144130
62440321505252
7302660504240
oct55057550300
916553424855
106052303040
112626404943
12120aaa2228
13755b7c504
14415b45b20
15256519e95
hex168bed0c0

6052303040 has 112 divisors (see below), whose sum is σ = 16509455424. Its totient is φ = 2070220800.

The previous prime is 6052303039. The next prime is 6052303043. The reversal of 6052303040 is 403032506.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 6052302997 and 6052303015.

It is not an unprimeable number, because it can be changed into a prime (6052303043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029710 + ... + 1035570.

It is an arithmetic number, because the mean of its divisors is an integer number (147405852).

Almost surely, 26052303040 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 6052303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254727712).

6052303040 is an abundant number, since it is smaller than the sum of its proper divisors (10457152384).

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

6052303040 is a wasteful number, since it uses less digits than its factorization.

6052303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 6052303040 is about 77796.5490237196. The cubic root of 6052303040 is about 1822.3853760540.

Adding to 6052303040 its reverse (403032506), we get a palindrome (6455335546).

The spelling of 6052303040 in words is "six billion, fifty-two million, three hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 461 560 922 1120 1844 2240 2305 3227 3688 4610 5861 6454 7376 9220 11722 12908 14752 16135 18440 23444 25816 29305 29504 32270 36880 41027 46888 51632 58610 64540 73760 82054 93776 103264 117220 129080 147520 164108 187552 205135 206528 234440 258160 328216 375104 410270 468880 516320 656432 820540 937760 1032640 1312864 1641080 1875520 2625728 2701921 3282160 5403842 6564320 10807684 13128640 13509605 18913447 21615368 27019210 37826894 43230736 54038420 75653788 86461472 94567235 108076840 151307576 172922944 189134470 216153680 302615152 378268940 432307360 605230304 756537880 864614720 1210460608 1513075760 3026151520 6052303040