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575013340 = 2251119235981
BaseRepresentation
bin100010010001100…
…000000111011100
31111001222201000101
4202101200013130
52134200411330
6133020310444
720151350506
oct4221400734
91431881011
10575013340
11275642040
121406a2424
139218a7a5
1456520d76
15357344ca
hex224601dc

575013340 has 96 divisors (see below), whose sum is σ = 1447165440. Its totient is φ = 189446400.

The previous prime is 575013323. The next prime is 575013347. The reversal of 575013340 is 43310575.

It is a junction number, because it is equal to n+sod(n) for n = 575013299 and 575013308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575013347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93150 + ... + 99130.

It is an arithmetic number, because the mean of its divisors is an integer number (15074640).

Almost surely, 2575013340 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 575013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723582720).

575013340 is an abundant number, since it is smaller than the sum of its proper divisors (872152100).

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

575013340 is a wasteful number, since it uses less digits than its factorization.

575013340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6041 counting only the distinct ones).

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

The square root of 575013340 is about 23979.4357731787. The cubic root of 575013340 is about 831.5581800375.

The spelling of 575013340 in words is "five hundred seventy-five million, thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 836 874 1012 1045 1265 1748 2090 2185 2530 4180 4370 4807 5060 5981 8740 9614 11962 19228 23924 24035 29905 48070 59810 65791 96140 113639 119620 131582 137563 227278 263164 275126 328955 454556 550252 568195 657910 687815 1136390 1250029 1315820 1375630 1513193 2272780 2500058 2613697 2751260 3026386 5000116 5227394 6052772 6250145 7565965 10454788 12500290 13068485 15131930 25000580 26136970 28750667 30263860 52273940 57501334 115002668 143753335 287506670 575013340