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820187421 = 319891071511
BaseRepresentation
bin110000111000110…
…001000100011101
32010011022211121220
4300320301010131
53134431444141
6213215243553
726216322654
oct6070610435
92104284556
10820187421
11390a79a49
121aa8195b9
13100c00701
147ad0219b
154c013766
hex30e3111d

820187421 has 32 divisors (see below), whose sum is σ = 1175731200. Its totient is φ = 507070080.

The previous prime is 820187419. The next prime is 820187437. The reversal of 820187421 is 124781028.

It is a happy number.

It is not a de Polignac number, because 820187421 - 21 = 820187419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820187441) 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 31 ways as a sum of consecutive naturals, for example, 542056 + ... + 543566.

It is an arithmetic number, because the mean of its divisors is an integer number (36741600).

Almost surely, 2820187421 is an apocalyptic number.

It is an amenable number.

820187421 is a deficient number, since it is larger than the sum of its proper divisors (355543779).

820187421 is a wasteful number, since it uses less digits than its factorization.

820187421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729.

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 820187421 is about 28638.9144521925. The cubic root of 820187421 is about 936.0614675372.

The spelling of 820187421 in words is "eight hundred twenty million, one hundred eighty-seven thousand, four hundred twenty-one".

Divisors: 1 3 19 57 89 107 267 321 1511 1691 2033 4533 5073 6099 9523 28569 28709 86127 134479 161677 180937 403437 485031 542811 2555101 3071863 7665303 9215589 14389253 43167759 273395807 820187421