Search a number
-
+
930730770 = 233519397457
BaseRepresentation
bin110111011110011…
…101001100010010
32101212100000121000
4313132131030102
53401231341040
6232204442430
732031036534
oct6736351422
92355300530
10930730770
11438411892
1221b849416
1311aa96188
148b879854
1556a9c130
hex3779d312

930730770 has 128 divisors (see below), whose sum is σ = 2624889600. Its totient is φ = 234026496.

The previous prime is 930730733. The next prime is 930730771. The reversal of 930730770 is 77037039.

It is not an unprimeable number, because it can be changed into a prime (930730771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2036382 + ... + 2036838.

It is an arithmetic number, because the mean of its divisors is an integer number (20506950).

Almost surely, 2930730770 is an apocalyptic number.

930730770 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 930730770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312444800).

930730770 is an abundant number, since it is smaller than the sum of its proper divisors (1694158830).

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

930730770 is a wasteful number, since it uses less digits than its factorization.

930730770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 27783, while the sum is 36.

The square root of 930730770 is about 30507.8804573507. The cubic root of 930730770 is about 976.3556054649.

The spelling of 930730770 in words is "nine hundred thirty million, seven hundred thirty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 397 457 513 570 794 855 914 1026 1191 1371 1710 1985 2285 2382 2565 2742 3573 3970 4113 4570 5130 5955 6855 7146 7543 8226 8683 10719 11910 12339 13710 15086 17366 17865 20565 21438 22629 24678 26049 35730 37715 41130 43415 45258 52098 53595 61695 67887 75430 78147 86830 107190 113145 123390 130245 135774 156294 181429 203661 226290 234441 260490 339435 362858 390735 407322 468882 544287 678870 781470 907145 1018305 1088574 1172205 1632861 1814290 2036610 2344410 2721435 3265722 3447151 4898583 5442870 6894302 8164305 9797166 10341453 16328610 17235755 20682906 24492915 31024359 34471510 48985830 51707265 62048718 93073077 103414530 155121795 186146154 310243590 465365385 930730770