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820320145 = 53474311097
BaseRepresentation
bin110000111001010…
…001011110010001
32010011120120200121
4300321101132101
53140000221040
6213222150241
726220414631
oct6071213621
92104516617
10820320145
1139105a737
121aa882381
13100c48c48
147ad386c1
154c03cc4a
hex30e51791

820320145 has 16 divisors (see below), whose sum is σ = 990413568. Its totient is φ = 652251520.

The previous prime is 820320097. The next prime is 820320161. The reversal of 820320145 is 541023028.

It is not a de Polignac number, because 820320145 - 219 = 819795857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747237 + ... + 748333.

It is an arithmetic number, because the mean of its divisors is an integer number (61900848).

Almost surely, 2820320145 is an apocalyptic number.

It is an amenable number.

820320145 is a deficient number, since it is larger than the sum of its proper divisors (170093423).

820320145 is a wasteful number, since it uses less digits than its factorization.

820320145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 820320145 is about 28641.2315552247. The cubic root of 820320145 is about 936.1119564532. Note that the first 3 decimals are identical.

The spelling of 820320145 in words is "eight hundred twenty million, three hundred twenty thousand, one hundred forty-five".

Divisors: 1 5 347 431 1097 1735 2155 5485 149557 380659 472807 747785 1903295 2364035 164064029 820320145