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210116660 = 225132293529
BaseRepresentation
bin11001000011000…
…10000000110100
3112122101000212112
430201202000310
5412242213120
632503310152
75130651005
oct1441420064
9478330775
10210116660
11a8672836
125a44b358
13346b9cb0
141dc971ac
15136a6bc5
hexc862034

210116660 has 48 divisors (see below), whose sum is σ = 477397200. Its totient is φ = 77220864.

The previous prime is 210116659. The next prime is 210116693. The reversal of 210116660 is 66611012.

It can be written as a sum of positive squares in 8 ways, for example, as 12208036 + 197908624 = 3494^2 + 14068^2 .

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, 57776 + ... + 61304.

It is an arithmetic number, because the mean of its divisors is an integer number (9945775).

Almost surely, 2210116660 is an apocalyptic number.

210116660 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 210116660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238698600).

210116660 is an abundant number, since it is smaller than the sum of its proper divisors (267280540).

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

210116660 is a wasteful number, since it uses less digits than its factorization.

210116660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 210116660 is about 14495.4013397353. The cubic root of 210116660 is about 594.5022412400.

Adding to 210116660 its reverse (66611012), we get a palindrome (276727672).

The spelling of 210116660 in words is "two hundred ten million, one hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2290 2977 3529 4580 5954 7058 11908 14116 14885 17645 29770 35290 45877 59540 70580 91754 183508 229385 458770 808141 917540 1616282 3232564 4040705 8081410 10505833 16162820 21011666 42023332 52529165 105058330 210116660