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84520000 = 26542113
BaseRepresentation
bin1010000100110…
…10110001000000
312220001001122101
411002122301000
5133114120000
612215320144
72044256665
oct502326100
9186031571
1084520000
1143789144
1224380054
1314683846
14b321a6c
157647e6a
hex509ac40

84520000 has 70 divisors (see below), whose sum is σ = 209681318. Its totient is φ = 33792000.

The previous prime is 84519997. The next prime is 84520003. The reversal of 84520000 is 2548.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84519997) and next prime (84520003).

It can be written as a sum of positive squares in 5 ways, for example, as 63872064 + 20647936 = 7992^2 + 4544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84520000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84520003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38944 + ... + 41056.

Almost surely, 284520000 is an apocalyptic number.

84520000 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 84520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104840659).

84520000 is an abundant number, since it is smaller than the sum of its proper divisors (125161318).

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

84520000 is an equidigital number, since it uses as much as digits as its factorization.

84520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 84520000 is about 9193.4759476490. The cubic root of 84520000 is about 438.8537658754.

Adding to 84520000 its reverse (2548), we get a palindrome (84522548).

The spelling of 84520000 in words is "eighty-four million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2113 2500 4000 4226 5000 8000 8452 10000 10565 16904 20000 21130 33808 40000 42260 52825 67616 84520 105650 135232 169040 211300 264125 338080 422600 528250 676160 845200 1056500 1320625 1690400 2113000 2641250 3380800 4226000 5282500 8452000 10565000 16904000 21130000 42260000 84520000