Search a number
-
+
210532140 = 2232571312853
BaseRepresentation
bin11001000110001…
…11011100101100
3112200011010210200
430203013130230
5412344012030
632520233500
75134331220
oct1443073454
9480133720
10210532140
11a8926a05
125a60b890
1334804140
141dd64780
1513739d60
hexc8c772c

210532140 has 144 divisors (see below), whose sum is σ = 786047808. Its totient is φ = 44416512.

The previous prime is 210532139. The next prime is 210532151. The reversal of 210532140 is 41235012.

210532140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 9954 + ... + 22806.

Almost surely, 2210532140 is an apocalyptic number.

210532140 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 210532140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393023904).

210532140 is an abundant number, since it is smaller than the sum of its proper divisors (575515668).

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

210532140 is a wasteful number, since it uses less digits than its factorization.

210532140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12888 (or 12883 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 210532140 is about 14509.7257038167. The cubic root of 210532140 is about 594.8938350705.

Adding to 210532140 its reverse (41235012), we get a palindrome (251767152).

The spelling of 210532140 in words is "two hundred ten million, five hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 12853 16380 25706 38559 51412 64265 77118 89971 115677 128530 154236 167089 179942 192795 231354 257060 269913 334178 359884 385590 449855 462708 501267 539826 578385 668356 771180 809739 835445 899710 1002534 1079652 1156770 1169623 1349565 1503801 1619478 1670890 1799420 2005068 2313540 2339246 2506335 2699130 3007602 3238956 3341780 3508869 4048695 4678492 5012670 5398260 5848115 6015204 7017738 7519005 8097390 10025340 10526607 11696230 14035476 15038010 16194780 17544345 21053214 23392460 30076020 35088690 42106428 52633035 70177380 105266070 210532140