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820816235 = 5254964403
BaseRepresentation
bin110000111011001…
…010100101101011
32010012111210012022
4300323022211223
53140112104420
6213240535055
726224552151
oct6073124553
92105453168
10820816235
11391369428
121aaa8148b
131010909a5
147b0273d1
154c0d9c25
hex30eca96b

820816235 has 8 divisors (see below), whose sum is σ = 985381200. Its totient is φ = 656385184.

The previous prime is 820816181. The next prime is 820816237. The reversal of 820816235 is 532618028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-820816235 is a prime.

It is a super-3 number, since 3×8208162353 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820816195 and 820816204.

It is not an unprimeable number, because it can be changed into a prime (820816237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19457 + ... + 44946.

It is an arithmetic number, because the mean of its divisors is an integer number (123172650).

Almost surely, 2820816235 is an apocalyptic number.

820816235 is a deficient number, since it is larger than the sum of its proper divisors (164564965).

820816235 is a wasteful number, since it uses less digits than its factorization.

820816235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66957.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 820816235 is about 28649.8906629676. The cubic root of 820816235 is about 936.3006235242.

The spelling of 820816235 in words is "eight hundred twenty million, eight hundred sixteen thousand, two hundred thirty-five".

Divisors: 1 5 2549 12745 64403 322015 164163247 820816235