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575516130 = 235717374357
BaseRepresentation
bin100010010011011…
…010110111100010
31111002221020201020
4202103122313202
52134313004010
6133035150310
720155543410
oct4223326742
91432836636
10575516130
11275955872
121408a5396
13923055b7
14566122b0
15357d3470
hex224dade2

575516130 has 128 divisors (see below), whose sum is σ = 1716982272. Its totient is φ = 120434688.

The previous prime is 575516101. The next prime is 575516153. The reversal of 575516130 is 31615575.

575516130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 575516091 and 575516100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129912 + ... + 134268.

It is an arithmetic number, because the mean of its divisors is an integer number (13413924).

Almost surely, 2575516130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575516130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858491136).

575516130 is an abundant number, since it is smaller than the sum of its proper divisors (1141466142).

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

575516130 is a wasteful number, since it uses less digits than its factorization.

575516130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428.

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 575516130 is about 23989.9172570478. The cubic root of 575516130 is about 831.8004801176.

The spelling of 575516130 in words is "five hundred seventy-five million, five hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 37 42 51 70 74 85 102 105 111 119 170 185 210 222 238 255 259 357 370 510 518 555 595 629 714 777 1110 1190 1258 1295 1554 1785 1887 2590 3145 3570 3774 3885 4357 4403 6290 7770 8714 8806 9435 13071 13209 18870 21785 22015 26142 26418 30499 43570 44030 60998 65355 66045 74069 91497 130710 132090 148138 152495 161209 182994 222207 304990 322418 370345 444414 457485 483627 518483 740690 806045 914970 967254 1036966 1111035 1128463 1555449 1612090 2222070 2256926 2418135 2592415 2740553 3110898 3385389 4836270 5184830 5481106 5642315 6770778 7777245 8221659 11284630 13702765 15554490 16443318 16926945 19183871 27405530 33853890 38367742 41108295 57551613 82216590 95919355 115103226 191838710 287758065 575516130