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5753230120 = 23511235231087
BaseRepresentation
bin1010101101110101…
…10101001100101000
3112211221201101001001
411112322311030220
543240311330440
62350515404344
7262366435441
oct52672651450
915757641031
105753230120
112492603a40
1211468b36b4
13708c176a1
143c81342c8
1523a140b9a
hex156eb5328

5753230120 has 128 divisors (see below), whose sum is σ = 14777303040. Its totient is φ = 1995459840.

The previous prime is 5753230103. The next prime is 5753230141. The reversal of 5753230120 is 210323575.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5292217 + ... + 5293303.

It is an arithmetic number, because the mean of its divisors is an integer number (115447680).

Almost surely, 25753230120 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 5753230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388651520).

5753230120 is an abundant number, since it is smaller than the sum of its proper divisors (9024072920).

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

5753230120 is a wasteful number, since it uses less digits than its factorization.

5753230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 5753230120 is about 75850.0502307019. The cubic root of 5753230120 is about 1791.8593415386.

Adding to 5753230120 its reverse (210323575), we get a palindrome (5963553695).

The spelling of 5753230120 in words is "five billion, seven hundred fifty-three million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 523 920 1012 1046 1087 1265 2024 2092 2174 2530 2615 4184 4348 5060 5230 5435 5753 8696 10120 10460 10870 11506 11957 12029 20920 21740 23012 23914 24058 25001 28765 43480 46024 47828 48116 50002 57530 59785 60145 95656 96232 100004 115060 119570 120290 125005 132319 200008 230120 239140 240580 250010 264638 275011 478280 481160 500020 529276 550022 568501 661595 1000040 1058552 1100044 1137002 1323190 1375055 2200088 2274004 2646380 2750110 2842505 4548008 5292760 5500220 5685010 6253511 11000440 11370020 12507022 13075523 22740040 25014044 26151046 31267555 50028088 52302092 62535110 65377615 104604184 125070220 130755230 143830753 250140440 261510460 287661506 523020920 575323012 719153765 1150646024 1438307530 2876615060 5753230120