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820134023 = 23241714753
BaseRepresentation
bin110000111000100…
…100000010000111
32010011020010101012
4300320210002013
53134423242043
6213214152435
726216011202
oct6070440207
92104203335
10820134023
11390a42915
121aa7b271b
13100bb2307
147acca939
154c002a18
hex30e24087

820134023 has 8 divisors (see below), whose sum is σ = 856204128. Its totient is φ = 784098304.

The previous prime is 820134017. The next prime is 820134037. The reversal of 820134023 is 320431028.

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-820134023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 820134023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820134053) 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 7 ways as a sum of consecutive naturals, for example, 48215 + ... + 62967.

It is an arithmetic number, because the mean of its divisors is an integer number (107025516).

Almost surely, 2820134023 is an apocalyptic number.

820134023 is a deficient number, since it is larger than the sum of its proper divisors (36070105).

820134023 is a wasteful number, since it uses less digits than its factorization.

820134023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17193.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 820134023 is about 28637.9821740290. The cubic root of 820134023 is about 936.0411531173.

It can be divided in two parts, 8201 and 34023, that added together give a palindrome (42224).

The spelling of 820134023 in words is "eight hundred twenty million, one hundred thirty-four thousand, twenty-three".

Divisors: 1 23 2417 14753 55591 339319 35658001 820134023