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820515041 = 2335674567
BaseRepresentation
bin110000111010000…
…001000011100001
32010011221111000222
4300322001003201
53140022440131
6213230252425
726222156063
oct6072010341
92104844028
10820515041
11391183105
121aa957115
13100cb6878
147ad89733
154c07a87b
hex30e810e1

820515041 has 4 divisors (see below), whose sum is σ = 856189632. Its totient is φ = 784840452.

The previous prime is 820515023. The next prime is 820515043. The reversal of 820515041 is 140515028.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-820515041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 820515041.

It is not an unprimeable number, because it can be changed into a prime (820515043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17837261 + ... + 17837306.

It is an arithmetic number, because the mean of its divisors is an integer number (214047408).

Almost surely, 2820515041 is an apocalyptic number.

It is an amenable number.

820515041 is a deficient number, since it is larger than the sum of its proper divisors (35674591).

820515041 is a wasteful number, since it uses less digits than its factorization.

820515041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35674590.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 820515041 is about 28644.6337208211. The cubic root of 820515041 is about 936.1860860599.

The spelling of 820515041 in words is "eight hundred twenty million, five hundred fifteen thousand, forty-one".

Divisors: 1 23 35674567 820515041