Search a number
-
+
210210068760 = 23353182768329
BaseRepresentation
bin1100001111000101111…
…1110001100100011000
3202002120220022220210020
43003301133301210120
511421002234200020
6240322535150440
721121126050216
oct3036137614430
9662526286706
10210210068760
1181171115a5a
12348a6b15420
1316a906aa893
14a2620c7cb6
1557049c9c40
hex30f17f1918

210210068760 has 128 divisors (see below), whose sum is σ = 651769804800. Its totient is φ = 54181370880.

The previous prime is 210210068689. The next prime is 210210068801. The reversal of 210210068760 is 67860012012.

210210068760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3042276 + ... + 3110604.

It is an arithmetic number, because the mean of its divisors is an integer number (5091951600).

Almost surely, 2210210068760 is an apocalyptic number.

210210068760 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 210210068760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325884902400).

210210068760 is an abundant number, since it is smaller than the sum of its proper divisors (441559736040).

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

210210068760 is a wasteful number, since it uses less digits than its factorization.

210210068760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69201 (or 69197 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 210210068760 in words is "two hundred ten billion, two hundred ten million, sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 827 930 1240 1654 1860 2481 3308 3720 4135 4962 6616 8270 9924 12405 16540 19848 24810 25637 33080 49620 51274 68329 76911 99240 102548 128185 136658 153822 204987 205096 256370 273316 307644 341645 384555 409974 512740 546632 615288 683290 769110 819948 1024935 1025480 1366580 1538220 1639896 2049870 2118199 2733160 3076440 4099740 4236398 6354597 8199480 8472796 10590995 12709194 16945592 21181990 25418388 31772985 42363980 50836776 56508083 63545970 84727960 113016166 127091940 169524249 226032332 254183880 282540415 339048498 452064664 565080830 678096996 847621245 1130161660 1356193992 1695242490 1751750573 2260323320 3390484980 3503501146 5255251719 6780969960 7007002292 8758752865 10510503438 14014004584 17517505730 21021006876 26276258595 35035011460 42042013752 52552517190 70070022920 105105034380 210210068760