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211049680 = 24515117471
BaseRepresentation
bin11001001010001…
…01110011010000
3112201010102201211
430211011303100
5413012042210
632535305504
75141615122
oct1445056320
9481112654
10211049680
11a914a826
125a81b294
133495588a
142005b212
15137dd38a
hexc945cd0

211049680 has 40 divisors (see below), whose sum is σ = 493968384. Its totient is φ = 83856000.

The previous prime is 211049669. The next prime is 211049731. The reversal of 211049680 is 86940112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3345 + ... + 20815.

Almost surely, 2211049680 is an apocalyptic number.

211049680 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 211049680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246984192).

211049680 is an abundant number, since it is smaller than the sum of its proper divisors (282918704).

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

211049680 is a wasteful number, since it uses less digits than its factorization.

211049680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17635 (or 17629 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 211049680 is about 14527.5490018103. The cubic root of 211049680 is about 595.3809015054.

Adding to 211049680 its reverse (86940112), we get a palindrome (297989792).

The spelling of 211049680 in words is "two hundred eleven million, forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 12080 17471 34942 69884 87355 139768 174710 279536 349420 698840 1397680 2638121 5276242 10552484 13190605 21104968 26381210 42209936 52762420 105524840 211049680