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84266320 = 24510110429
BaseRepresentation
bin1010000010111…
…00110101010000
312212120011122211
411001130311100
5133033010240
612210041504
72042152255
oct501346520
9185504584
1084266320
1143625596
1224279294
13145c5238
14b29742c
1575e7bea
hex505cd50

84266320 has 40 divisors (see below), whose sum is σ = 197877960. Its totient is φ = 33369600.

The previous prime is 84266261. The next prime is 84266323. The reversal of 84266320 is 2366248.

It can be written as a sum of positive squares in 4 ways, for example, as 56430144 + 27836176 = 7512^2 + 5276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84266323) 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 7 ways as a sum of consecutive naturals, for example, 2866 + ... + 13294.

It is an arithmetic number, because the mean of its divisors is an integer number (4946949).

Almost surely, 284266320 is an apocalyptic number.

84266320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84266320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98938980).

84266320 is an abundant number, since it is smaller than the sum of its proper divisors (113611640).

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

84266320 is a wasteful number, since it uses less digits than its factorization.

84266320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10543 (or 10537 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 84266320 is about 9179.6688393427. The cubic root of 84266320 is about 438.4142644141.

The spelling of 84266320 in words is "eighty-four million, two hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 10429 20858 41716 52145 83432 104290 166864 208580 417160 834320 1053329 2106658 4213316 5266645 8426632 10533290 16853264 21066580 42133160 84266320