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210313380 = 223523257593
BaseRepresentation
bin11001000100100…
…10000010100100
3112122202000201110
430202102002210
5412320012010
632511425020
75132430354
oct1442220244
9478660643
10210313380
11a8797612
125a525170
13347586b4
141dd08b64
15136e5120
hexc8920a4

210313380 has 96 divisors (see below), whose sum is σ = 617912064. Its totient is φ = 53346304.

The previous prime is 210313379. The next prime is 210313399. The reversal of 210313380 is 83313012.

It is a happy number.

210313380 is digitally balanced in base 3, 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, 354364 + ... + 354956.

It is an arithmetic number, because the mean of its divisors is an integer number (6436584).

Almost surely, 2210313380 is an apocalyptic number.

210313380 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 210313380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308956032).

210313380 is an abundant number, since it is smaller than the sum of its proper divisors (407598684).

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

210313380 is a wasteful number, since it uses less digits than its factorization.

210313380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 210313380 is about 14502.1853525598. The cubic root of 210313380 is about 594.6877159851.

Adding to 210313380 its reverse (83313012), we get a palindrome (293626392).

The spelling of 210313380 in words is "two hundred ten million, three hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 257 276 345 460 514 593 690 771 1028 1186 1285 1380 1542 1779 2372 2570 2965 3084 3558 3855 5140 5911 5930 7116 7710 8895 11822 11860 13639 15420 17733 17790 23644 27278 29555 35466 35580 40917 54556 59110 68195 70932 81834 88665 118220 136390 152401 163668 177330 204585 272780 304802 354660 409170 457203 609604 762005 818340 914406 1524010 1828812 2286015 3048020 3505223 4572030 7010446 9144060 10515669 14020892 17526115 21031338 35052230 42062676 52578345 70104460 105156690 210313380