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210640132920 = 233572153116471
BaseRepresentation
bin1100010000101100100…
…0010101101100111000
3202010200212120102220110
43010023020111230320
511422342333223140
6240433341024320
721134600405460
oct3041310255470
9663625512813
10210640132920
1181371955588
12349a6b550a0
1316b2b817409
14a2a3276ba0
15572c62b380
hex310b215b38

210640132920 has 128 divisors (see below), whose sum is σ = 722536381440. Its totient is φ = 48123540480.

The previous prime is 210640132919. The next prime is 210640132921. The reversal of 210640132920 is 29231046012.

It is an interprime number because it is at equal distance from previous prime (210640132919) and next prime (210640132921).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210640132921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1750285 + ... + 1866755.

It is an arithmetic number, because the mean of its divisors is an integer number (5644815480).

Almost surely, 2210640132920 is an apocalyptic number.

210640132920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210640132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361268190720).

210640132920 is an abundant number, since it is smaller than the sum of its proper divisors (511896248520).

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

210640132920 is a wasteful number, since it uses less digits than its factorization.

210640132920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118645 (or 118641 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 210640132920 its reverse (29231046012), we get a palindrome (239871178932).

The spelling of 210640132920 in words is "two hundred ten billion, six hundred forty million, one hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2153 4306 6459 8612 10765 12918 15071 17224 21530 25836 30142 32295 43060 45213 51672 60284 64590 75355 86120 90426 116471 120568 129180 150710 180852 226065 232942 258360 301420 349413 361704 452130 465884 582355 602840 698826 815297 904260 931768 1164710 1397652 1630594 1747065 1808520 2329420 2445891 2795304 3261188 3494130 4076485 4658840 4891782 6522376 6988260 8152970 9783564 12229455 13976520 16305940 19567128 24458910 32611880 48917820 97835640 250762063 501524126 752286189 1003048252 1253810315 1504572378 1755334441 2006096504 2507620630 3009144756 3510668882 3761430945 5015241260 5266003323 6018289512 7021337764 7522861890 8776672205 10030482520 10532006646 14042675528 15045723780 17553344410 21064013292 26330016615 30091447560 35106688820 42128026584 52660033230 70213377640 105320066460 210640132920