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212340726 = 23213229283
BaseRepresentation
bin11001010100000…
…00111111110110
3112210120000201100
430222000333312
5413324400401
633023110530
75155603113
oct1452007766
9483500640
10212340726
11a9951804
125b142446
1334cb8400
14202b590a
1513995b86
hexca80ff6

212340726 has 108 divisors (see below), whose sum is σ = 522171468. Its totient is φ = 62322624.

The previous prime is 212340679. The next prime is 212340757. The reversal of 212340726 is 627043212.

It is a self number, because there is not a number n which added to its sum of digits gives 212340726.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2558281 + ... + 2558363.

It is an arithmetic number, because the mean of its divisors is an integer number (4834921).

Almost surely, 2212340726 is an apocalyptic number.

212340726 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212340726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261085734).

212340726 is an abundant number, since it is smaller than the sum of its proper divisors (309830742).

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

212340726 is a wasteful number, since it uses less digits than its factorization.

212340726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 212340726 is about 14571.9156599261. The cubic root of 212340726 is about 596.5924678427.

Adding to 212340726 its reverse (627043212), we get a palindrome (839383938).

It can be divided in two parts, 2123 and 40726, that added together give a square (42849 = 2072).

The spelling of 212340726 in words is "two hundred twelve million, three hundred forty thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 83 87 117 166 169 174 234 249 261 338 377 498 507 522 747 754 841 1014 1079 1131 1494 1521 1682 2158 2262 2407 2523 3042 3237 3393 4814 4901 5046 6474 6786 7221 7569 9711 9802 10933 14027 14442 14703 15138 19422 21663 21866 28054 29406 31291 32799 42081 43326 44109 62582 65598 69803 84162 88218 93873 98397 126243 139606 142129 187746 196794 209409 252486 281619 284258 406783 418818 426387 563238 628227 813566 852774 907439 1220349 1256454 1279161 1814878 2440698 2558322 2722317 3661047 5444634 7322094 8166951 11796707 16333902 23593414 35390121 70780242 106170363 212340726