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2129793030 = 2325193173929
BaseRepresentation
bin111111011110010…
…0001000000000110
312111102120200210100
41332330201000012
513330211334110
6551200504530
7103530641061
oct17674410006
95442520710
102129793030
119a3238032
124b531b146
1327c31c881
14162c038d8
15c6e9ebc0
hex7ef21006

2129793030 has 96 divisors (see below), whose sum is σ = 5848783200. Its totient is φ = 536219136.

The previous prime is 2129793023. The next prime is 2129793041. The reversal of 2129793030 is 303979212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540106 + ... + 544034.

It is an arithmetic number, because the mean of its divisors is an integer number (60924825).

Almost surely, 22129793030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129793030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924391600).

2129793030 is an abundant number, since it is smaller than the sum of its proper divisors (3718990170).

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

2129793030 is a wasteful number, since it uses less digits than its factorization.

2129793030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2129793030 is about 46149.6807139551. The cubic root of 2129793030 is about 1286.6066757566.

The spelling of 2129793030 in words is "two billion, one hundred twenty-nine million, seven hundred ninety-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 317 342 570 634 855 951 1585 1710 1902 2853 3170 3929 4755 5706 6023 7858 9510 11787 12046 14265 18069 19645 23574 28530 30115 35361 36138 39290 54207 58935 60230 70722 74651 90345 108414 117870 149302 176805 180690 223953 271035 353610 373255 447906 542070 671859 746510 1119765 1245493 1343718 2239530 2490986 3359295 3736479 6227465 6718590 7472958 11209437 12454930 18682395 22418874 23664367 37364790 47328734 56047185 70993101 112094370 118321835 141986202 212979303 236643670 354965505 425958606 709931010 1064896515 2129793030