Search a number
-
+
212046260 = 225293741241
BaseRepresentation
bin11001010001110…
…01000110110100
3112210000001210012
430220321012310
5413240440020
633012515352
75153235446
oct1450710664
9483001705
10212046260
11a9770548
125b01bb58
1334c1437a
142023a496
15139387c5
hexca391b4

212046260 has 96 divisors (see below), whose sum is σ = 486652320. Its totient is φ = 77414400.

The previous prime is 212046259. The next prime is 212046299. The reversal of 212046260 is 62640212.

It can be written as a sum of positive squares in 16 ways, for example, as 28281124 + 183765136 = 5318^2 + 13556^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879740 + ... + 879980.

It is an arithmetic number, because the mean of its divisors is an integer number (5069295).

Almost surely, 2212046260 is an apocalyptic number.

212046260 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 212046260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243326160).

212046260 is an abundant number, since it is smaller than the sum of its proper divisors (274606060).

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

212046260 is a wasteful number, since it uses less digits than its factorization.

212046260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 212046260 is about 14561.8082668328. The cubic root of 212046260 is about 596.3165630573.

Adding to 212046260 its reverse (62640212), we get a palindrome (274686472).

The spelling of 212046260 in words is "two hundred twelve million, forty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 37 41 58 74 82 116 145 148 164 185 205 241 290 370 410 482 580 740 820 964 1073 1189 1205 1517 2146 2378 2410 3034 4292 4756 4820 5365 5945 6068 6989 7585 8917 9881 10730 11890 13978 15170 17834 19762 21460 23780 27956 30340 34945 35668 39524 43993 44585 49405 69890 87986 89170 98810 139780 175972 178340 197620 219965 258593 286549 365597 439930 517186 573098 731194 879860 1034372 1146196 1292965 1432745 1462388 1827985 2585930 2865490 3655970 5171860 5730980 7311940 10602313 21204626 42409252 53011565 106023130 212046260