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575350680 = 233579137443
BaseRepresentation
bin100010010010110…
…010011110011000
31111002121211202110
4202102302132120
52134242210210
6133031432320
720154254142
oct4222623630
91432554673
10575350680
11275852533
121408256a0
13922781b8
14565abc92
153579e420
hex224b2798

575350680 has 128 divisors (see below), whose sum is σ = 1764633600. Its totient is φ = 150039552.

The previous prime is 575350679. The next prime is 575350697. The reversal of 575350680 is 86053575.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1298539 + ... + 1298981.

It is an arithmetic number, because the mean of its divisors is an integer number (13786200).

Almost surely, 2575350680 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 575350680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882316800).

575350680 is an abundant number, since it is smaller than the sum of its proper divisors (1189282920).

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

575350680 is a wasteful number, since it uses less digits than its factorization.

575350680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 575350680 is about 23986.4686854902. The cubic root of 575350680 is about 831.7207635106.

The spelling of 575350680 in words is "five hundred seventy-five million, three hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 137 158 237 274 316 395 411 443 474 548 632 685 790 822 886 948 1096 1185 1329 1370 1580 1644 1772 1896 2055 2215 2370 2658 2740 3160 3288 3544 4110 4430 4740 5316 5480 6645 8220 8860 9480 10632 10823 13290 16440 17720 21646 26580 32469 34997 43292 53160 54115 60691 64938 69994 86584 104991 108230 121382 129876 139988 162345 174985 182073 209982 216460 242764 259752 279976 303455 324690 349970 364146 419964 432920 485528 524955 606910 649380 699940 728292 839928 910365 1049910 1213820 1298760 1399880 1456584 1820730 2099820 2427640 3641460 4199640 4794589 7282920 9589178 14383767 19178356 23972945 28767534 38356712 47945890 57535068 71918835 95891780 115070136 143837670 191783560 287675340 575350680