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820413215 = 5400740949
BaseRepresentation
bin110000111001101…
…000001100011111
32010011202022100122
4300321220030133
53140011210330
6213224145155
726221253156
oct6071501437
92104668318
10820413215
11391113656
121aa9081bb
13100c7c40b
147ad6059d
154c05a5e5
hex30e6831f

820413215 has 8 divisors (see below), whose sum is σ = 984765600. Its totient is φ = 656150752.

The previous prime is 820413163. The next prime is 820413227. The reversal of 820413215 is 512314028.

820413215 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 820413215 - 212 = 820409119 is a prime.

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, 440 + ... + 40509.

It is an arithmetic number, because the mean of its divisors is an integer number (123095700).

Almost surely, 2820413215 is an apocalyptic number.

820413215 is a deficient number, since it is larger than the sum of its proper divisors (164352385).

820413215 is a wasteful number, since it uses less digits than its factorization.

820413215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44961.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 820413215 is about 28642.8562646954. The cubic root of 820413215 is about 936.1473575283.

The spelling of 820413215 in words is "eight hundred twenty million, four hundred thirteen thousand, two hundred fifteen".

Divisors: 1 5 4007 20035 40949 204745 164082643 820413215