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820237541 = 1523538567
BaseRepresentation
bin110000111000111…
…101010011100101
32010011102101101012
4300320331103211
53134440100131
6213220312005
726216622044
oct6070752345
92104371335
10820237541
11391003672
121aa842605
13100c1a476
147ad1655b
154c02352b
hex30e3d4e5

820237541 has 4 divisors (see below), whose sum is σ = 820777632. Its totient is φ = 819697452.

The previous prime is 820237493. The next prime is 820237547. The reversal of 820237541 is 145732028.

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 not a de Polignac number, because 820237541 - 218 = 819975397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820237498 and 820237507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820237547) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267761 + ... + 270806.

It is an arithmetic number, because the mean of its divisors is an integer number (205194408).

Almost surely, 2820237541 is an apocalyptic number.

It is an amenable number.

820237541 is a deficient number, since it is larger than the sum of its proper divisors (540091).

820237541 is a wasteful number, since it uses less digits than its factorization.

820237541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540090.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 820237541 is about 28639.7894719916. The cubic root of 820237541 is about 936.0805340920.

Adding to 820237541 its reverse (145732028), we get a palindrome (965969569).

The spelling of 820237541 in words is "eight hundred twenty million, two hundred thirty-seven thousand, five hundred forty-one".

Divisors: 1 1523 538567 820237541