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82906020 = 22325460589
BaseRepresentation
bin1001111000100…
…00101110100100
312210000001200100
410330100232210
5132210443040
612120544100
72024455341
oct474205644
9183001610
1082906020
114288657a
1223922030
131423a022
14b0217c8
157429b30
hex4f10ba4

82906020 has 36 divisors (see below), whose sum is σ = 251482140. Its totient is φ = 22108224.

The previous prime is 82906013. The next prime is 82906049. The reversal of 82906020 is 2060928.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 70459236 = 3528^2 + 8394^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230115 + ... + 230474.

It is an arithmetic number, because the mean of its divisors is an integer number (6985615).

Almost surely, 282906020 is an apocalyptic number.

It is an amenable number.

82906020 is an abundant number, since it is smaller than the sum of its proper divisors (168576120).

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

82906020 is a wasteful number, since it uses less digits than its factorization.

82906020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460604 (or 460599 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82906020 is about 9105.2742957036. The cubic root of 82906020 is about 436.0423674566.

Adding to 82906020 its reverse (2060928), we get a palindrome (84966948).

The spelling of 82906020 in words is "eighty-two million, nine hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 460589 921178 1381767 1842356 2302945 2763534 4145301 4605890 5527068 6908835 8290602 9211780 13817670 16581204 20726505 27635340 41453010 82906020