Search a number
-
+
830520075 = 352711143813
BaseRepresentation
bin110001100000001…
…011101100001011
32010212202210100210
4301200023230023
53200103120300
6214224532203
726403206220
oct6140135413
92125683323
10830520075
11396897030
121b2181063
131030aa7c8
147c431947
154cda5050
hex3180bb0b

830520075 has 48 divisors (see below), whose sum is σ = 1711961856. Its totient is φ = 345148800.

The previous prime is 830520059. The next prime is 830520079. The reversal of 830520075 is 570025038.

It is a happy number.

It is not a de Polignac number, because 830520075 - 24 = 830520059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (830520079) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 66132 + ... + 77681.

It is an arithmetic number, because the mean of its divisors is an integer number (35665872).

Almost surely, 2830520075 is an apocalyptic number.

830520075 is an abundant number, since it is smaller than the sum of its proper divisors (881441781).

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

830520075 is a wasteful number, since it uses less digits than its factorization.

830520075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143844 (or 143839 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 830520075 is about 28818.7452016912. The cubic root of 830520075 is about 939.9758840199.

The spelling of 830520075 in words is "eight hundred thirty million, five hundred twenty thousand, seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 143813 431439 719065 1006691 1581943 2157195 3020073 3595325 4745829 5033455 7909715 10785975 11073601 15100365 23729145 25167275 33220803 39548575 55368005 75501825 118645725 166104015 276840025 830520075