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84000078 = 234737103
BaseRepresentation
bin1010000000110…
…11110101001110
312212001122110000
411000123311032
5133001000303
612200225130
72036663121
oct500336516
9185048400
1084000078
1143463558
122416b1a6
1314530cb6
14b2283b8
157593da3
hex501bd4e

84000078 has 40 divisors (see below), whose sum is σ = 190827648. Its totient is φ = 27612576.

The previous prime is 84000073. The next prime is 84000079. The reversal of 84000078 is 87000048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84000073) 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 19 ways as a sum of consecutive naturals, for example, 8275 + ... + 15377.

Almost surely, 284000078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84000078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95413824).

84000078 is an abundant number, since it is smaller than the sum of its proper divisors (106827570).

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

84000078 is a wasteful number, since it uses less digits than its factorization.

84000078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190 (or 7181 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 84000078 is about 9165.1556451596. The cubic root of 84000078 is about 437.9520495453.

The spelling of 84000078 in words is "eighty-four million, seventy-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 3942 5913 7103 11826 14206 21309 42618 63927 127854 191781 383562 518519 575343 1037038 1150686 1555557 3111114 4666671 9333342 14000013 28000026 42000039 84000078