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84000027 = 3374317599
BaseRepresentation
bin1010000000110…
…11110100011011
312212001122101010
411000123310123
5133001000102
612200225003
72036663016
oct500336433
9185048333
1084000027
1143463511
122416b163
1314530c77
14b22837d
157593d6c
hex501bd1b

84000027 has 16 divisors (see below), whose sum is σ = 117708800. Its totient is φ = 53216352.

The previous prime is 84000023. The next prime is 84000041. The reversal of 84000027 is 72000048.

It is a happy number.

It is not a de Polignac number, because 84000027 - 22 = 84000023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83999967 and 84000012.

It is not an unprimeable number, because it can be changed into a prime (84000023) 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 15 ways as a sum of consecutive naturals, for example, 4027 + ... + 13572.

It is an arithmetic number, because the mean of its divisors is an integer number (7356800).

Almost surely, 284000027 is an apocalyptic number.

84000027 is a deficient number, since it is larger than the sum of its proper divisors (33708773).

84000027 is a wasteful number, since it uses less digits than its factorization.

84000027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17682.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 84000027 is about 9165.1528628823. The cubic root of 84000027 is about 437.9519609122.

Adding to 84000027 its sum of digits (21), we get a palindrome (84000048).

The spelling of 84000027 in words is "eighty-four million, twenty-seven", and thus it is an aban number.

Divisors: 1 3 37 43 111 129 1591 4773 17599 52797 651163 756757 1953489 2270271 28000009 84000027