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820527323 = 71123463313
BaseRepresentation
bin110000111010000…
…100000011011011
32010011222002212212
4300322010003123
53140023333243
6213230425335
726222236640
oct6072040333
92104862785
10820527323
11391191360
121aa96224b
13100cbc335
147ad8ddc7
154c07e318
hex30e840db

820527323 has 16 divisors (see below), whose sum is σ = 1067475456. Its totient is φ = 611571840.

The previous prime is 820527319. The next prime is 820527329. The reversal of 820527323 is 323725028.

It is not a de Polignac number, because 820527323 - 22 = 820527319 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 820527323.

It is not an unprimeable number, because it can be changed into a prime (820527329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229886 + ... + 233427.

It is an arithmetic number, because the mean of its divisors is an integer number (66717216).

Almost surely, 2820527323 is an apocalyptic number.

820527323 is a deficient number, since it is larger than the sum of its proper divisors (246948133).

820527323 is a wasteful number, since it uses less digits than its factorization.

820527323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463354.

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 820527323 is about 28644.8481057240. The cubic root of 820527323 is about 936.1907571829.

The spelling of 820527323 in words is "eight hundred twenty million, five hundred twenty-seven thousand, three hundred twenty-three".

Divisors: 1 7 11 23 77 161 253 1771 463313 3243191 5096443 10656199 35675101 74593393 117218189 820527323