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820576060 = 2251723104933
BaseRepresentation
bin110000111010001…
…111111100111100
32010012001120201221
4300322033330330
53140031413220
6213231443124
726222532013
oct6072177474
92105046657
10820576060
11391214a37
121aa9864a4
13101008585
147ada3a7a
154c08d9aa
hex30e8ff3c

820576060 has 48 divisors (see below), whose sum is σ = 1903922496. Its totient is φ = 295488512.

The previous prime is 820576049. The next prime is 820576063. The reversal of 820576060 is 60675028.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820576063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44647 + ... + 60286.

It is an arithmetic number, because the mean of its divisors is an integer number (39665052).

Almost surely, 2820576060 is an apocalyptic number.

It is an amenable number.

820576060 is an abundant number, since it is smaller than the sum of its proper divisors (1083346436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820576060 is a wasteful number, since it uses less digits than its factorization.

820576060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104982 (or 104980 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 820576060 is about 28645.6988045326. The cubic root of 820576060 is about 936.2092925094.

The spelling of 820576060 in words is "eight hundred twenty million, five hundred seventy-six thousand, sixty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 104933 209866 419732 524665 1049330 1783861 2098660 2413459 3567722 4826918 7135444 8919305 9653836 12067295 17838610 24134590 35677220 41028803 48269180 82057606 164115212 205144015 410288030 820576060