Search a number
-
+
210105210 = 235717229257
BaseRepresentation
bin11001000010111…
…11001101111010
3112122100110011110
430201133031322
5412241331320
632503141150
75130602430
oct1441371572
9478313143
10210105210
11a8665177
125a4447b6
13346b4a13
141dc92d50
15136a35e0
hexc85f37a

210105210 has 128 divisors (see below), whose sum is σ = 615237120. Its totient is φ = 44826624.

The previous prime is 210105209. The next prime is 210105221. The reversal of 210105210 is 12501012.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 817402 + ... + 817658.

It is an arithmetic number, because the mean of its divisors is an integer number (4806540).

Almost surely, 2210105210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210105210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307618560).

210105210 is an abundant number, since it is smaller than the sum of its proper divisors (405131910).

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

210105210 is a wasteful number, since it uses less digits than its factorization.

210105210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 210105210 is about 14495.0063815095. The cubic root of 210105210 is about 594.4914422005.

Adding to 210105210 its reverse (12501012), we get a palindrome (222606222).

The spelling of 210105210 in words is "two hundred ten million, one hundred five thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 229 238 255 257 357 458 510 514 595 687 714 771 1145 1190 1285 1374 1542 1603 1785 1799 2290 2570 3206 3435 3570 3598 3855 3893 4369 4809 5397 6870 7710 7786 8015 8738 8995 9618 10794 11679 13107 16030 17990 19465 21845 23358 24045 26214 26985 27251 30583 38930 43690 48090 53970 54502 58395 58853 61166 65535 81753 91749 116790 117706 131070 136255 152915 163506 176559 183498 272510 294265 305830 353118 408765 411971 458745 588530 817530 823942 882795 917490 1000501 1235913 1765590 2001002 2059855 2471826 3001503 4119710 5002505 6003006 6179565 7003507 10005010 12359130 14007014 15007515 21010521 30015030 35017535 42021042 70035070 105052605 210105210