Search a number
-
+
575135320 = 235194317599
BaseRepresentation
bin100010010001111…
…101111001011000
31111002012220100011
4202101331321120
52134213312240
6133023051304
720152366234
oct4221757130
91432186304
10575135320
11275715751
12140740b34
1392201176
14565535c4
153575a6ea
hex2247de58

575135320 has 64 divisors (see below), whose sum is σ = 1393920000. Its totient is φ = 212865408.

The previous prime is 575135299. The next prime is 575135329. The reversal of 575135320 is 23531575.

575135320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575135329) 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, 23881 + ... + 41479.

It is an arithmetic number, because the mean of its divisors is an integer number (21780000).

Almost surely, 2575135320 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 575135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696960000).

575135320 is an abundant number, since it is smaller than the sum of its proper divisors (818784680).

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

575135320 is a wasteful number, since it uses less digits than its factorization.

575135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17672 (or 17668 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 31.

The square root of 575135320 is about 23981.9790676249. The cubic root of 575135320 is about 831.6169765257.

Adding to 575135320 its reverse (23531575), we get a palindrome (598666895).

The spelling of 575135320 in words is "five hundred seventy-five million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1634 1720 3268 4085 6536 8170 16340 17599 32680 35198 70396 87995 140792 175990 334381 351980 668762 703960 756757 1337524 1513514 1671905 2675048 3027028 3343810 3783785 6054056 6687620 7567570 13375240 14378383 15135140 28756766 30270280 57513532 71891915 115027064 143783830 287567660 575135320