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816086080 = 2652550269
BaseRepresentation
bin110000101001000…
…111110001000000
32002212121110122101
4300221013301000
53132404223310
6212551320144
726136421465
oct6051076100
92085543571
10816086080
11389728607
121a9380054
131000c5994
147a55566c
154b9a343a
hex30a47c40

816086080 has 28 divisors (see below), whose sum is σ = 1943305740. Its totient is φ = 326434304.

The previous prime is 816086077. The next prime is 816086087. The reversal of 816086080 is 80680618.

It can be written as a sum of positive squares in 2 ways, for example, as 137170944 + 678915136 = 11712^2 + 26056^2 .

It is not an unprimeable number, because it can be changed into a prime (816086087) 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 3 ways as a sum of consecutive naturals, for example, 1274815 + ... + 1275454.

Almost surely, 2816086080 is an apocalyptic number.

816086080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816086080 is an abundant number, since it is smaller than the sum of its proper divisors (1127219660).

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

816086080 is a wasteful number, since it uses less digits than its factorization.

816086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550286 (or 2550276 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 816086080 is about 28567.2203758084. The cubic root of 816086080 is about 934.4986035073.

The spelling of 816086080 in words is "eight hundred sixteen million, eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2550269 5100538 10201076 12751345 20402152 25502690 40804304 51005380 81608608 102010760 163217216 204021520 408043040 816086080