Search a number
-
+
975322068 = 223721658711
BaseRepresentation
bin111010001000100…
…011101111010100
32111222020111100120
4322020203233110
53444140301233
6240440311540
733112046400
oct7210435724
92458214316
10975322068
114605a89a6
122327725b0
131270a9766
1493766100
155a9594b3
hex3a223bd4

975322068 has 36 divisors (see below), whose sum is σ = 2647304352. Its totient is φ = 278663280.

The previous prime is 975322067. The next prime is 975322157. The reversal of 975322068 is 860223579.

975322068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9753220683 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975322067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 828768 + ... + 829943.

It is an arithmetic number, because the mean of its divisors is an integer number (73536232).

Almost surely, 2975322068 is an apocalyptic number.

975322068 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

975322068 is an abundant number, since it is smaller than the sum of its proper divisors (1671982284).

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

975322068 is a wasteful number, since it uses less digits than its factorization.

975322068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658732 (or 1658723 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 975322068 is about 31230.1467815955. The cubic root of 975322068 is about 991.7054127114.

The spelling of 975322068 in words is "nine hundred seventy-five million, three hundred twenty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1658711 3317422 4976133 6634844 9952266 11610977 19904532 23221954 34832931 46443908 69665862 81276839 139331724 162553678 243830517 325107356 487661034 975322068