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213140460 = 2235132631039
BaseRepresentation
bin11001011010001…
…00001111101100
3112212001122202010
430231010033230
5414030443320
633052201220
75165443521
oct1455041754
9485048663
10213140460
11aa348645
125b469210
1335208420
1420443148
1513aa2ae0
hexcb443ec

213140460 has 96 divisors (see below), whose sum is σ = 645765120. Its totient is φ = 52215552.

The previous prime is 213140449. The next prime is 213140479. The reversal of 213140460 is 64041312.

213140460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204621 + ... + 205659.

It is an arithmetic number, because the mean of its divisors is an integer number (6726720).

Almost surely, 2213140460 is an apocalyptic number.

213140460 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 213140460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322882560).

213140460 is an abundant number, since it is smaller than the sum of its proper divisors (432624660).

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

213140460 is a wasteful number, since it uses less digits than its factorization.

213140460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 213140460 is about 14599.3308065815. The cubic root of 213140460 is about 597.3405070233.

Adding to 213140460 its reverse (64041312), we get a palindrome (277181772).

The spelling of 213140460 in words is "two hundred thirteen million, one hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 263 390 526 780 789 1039 1052 1315 1578 2078 2630 3117 3156 3419 3945 4156 5195 5260 6234 6838 7890 10257 10390 12468 13507 13676 15585 15780 17095 20514 20780 27014 31170 34190 40521 41028 51285 54028 62340 67535 68380 81042 102570 135070 162084 202605 205140 270140 273257 405210 546514 810420 819771 1093028 1366285 1639542 2732570 3279084 3552341 4098855 5465140 7104682 8197710 10657023 14209364 16395420 17761705 21314046 35523410 42628092 53285115 71046820 106570230 213140460