Search a number
-
+
210082816 = 2101931063
BaseRepresentation
bin11001000010110…
…01110000000000
3112122022022110001
430201121300000
5412240122231
632502445344
75130450226
oct1441316000
9478268401
10210082816
11a864a369
125a433854
13346a7778
141dc88b16
151369bb61
hexc859c00

210082816 has 44 divisors (see below), whose sum is σ = 422533552. Its totient is φ = 104398848.

The previous prime is 210082801. The next prime is 210082843. The reversal of 210082816 is 618280012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 197101 + ... + 198163.

Almost surely, 2210082816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211266776).

210082816 is an abundant number, since it is smaller than the sum of its proper divisors (212450736).

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

210082816 is a wasteful number, since it uses less digits than its factorization.

210082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 210082816 is about 14494.2338879984. The cubic root of 210082816 is about 594.4703202201.

The spelling of 210082816 in words is "two hundred ten million, eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 512 772 1024 1063 1544 2126 3088 4252 6176 8504 12352 17008 24704 34016 49408 68032 98816 136064 197632 205159 272128 410318 544256 820636 1088512 1641272 3282544 6565088 13130176 26260352 52520704 105041408 210082816