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213071260 = 225411971319
BaseRepresentation
bin11001011001100…
…11010110011100
3112211221010211011
430230303112130
5414021240020
633050505004
75165035003
oct1454632634
9484833734
10213071260
11aa300656
125b435164
13351b2a8c
1420425c3a
1513a8c35a
hexcb3359c

213071260 has 48 divisors (see below), whose sum is σ = 461039040. Its totient is φ = 82664960.

The previous prime is 213071239. The next prime is 213071273. The reversal of 213071260 is 62170312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160881 + ... + 162199.

It is an arithmetic number, because the mean of its divisors is an integer number (9604980).

Almost surely, 2213071260 is an apocalyptic number.

213071260 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 213071260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

213071260 is an abundant number, since it is smaller than the sum of its proper divisors (247967780).

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

213071260 is a wasteful number, since it uses less digits than its factorization.

213071260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 213071260 is about 14596.9606425447. The cubic root of 213071260 is about 597.2758541376.

The spelling of 213071260 in words is "two hundred thirteen million, seventy-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 197 205 394 410 788 820 985 1319 1970 2638 3940 5276 6595 8077 13190 16154 26380 32308 40385 54079 80770 108158 161540 216316 259843 270395 519686 540790 1039372 1081580 1299215 2598430 5196860 10653563 21307126 42614252 53267815 106535630 213071260