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8086400680 = 235316963793
BaseRepresentation
bin1111000011111110…
…01010111010101000
3202212112222201100111
413201333022322220
5113030104310210
63414223344104
7404250162121
oct74177127250
922775881314
108086400680
11347a620576
121698152034
139bb404997
14569d59048
15324db588a
hex1e1fcaea8

8086400680 has 32 divisors (see below), whose sum is σ = 18200428200. Its totient is φ = 3233488896.

The previous prime is 8086400677. The next prime is 8086400689. The reversal of 8086400680 is 860046808.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8073741316 + 12659364 = 89854^2 + 3558^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8086400689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94864 + ... + 158656.

Almost surely, 28086400680 is an apocalyptic number.

It is an amenable number.

8086400680 is an abundant number, since it is smaller than the sum of its proper divisors (10114027520).

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

8086400680 is a wasteful number, since it uses less digits than its factorization.

8086400680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66973 (or 66969 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 8086400680 is about 89924.4164840673. The cubic root of 8086400680 is about 2007.1742906714.

The spelling of 8086400680 in words is "eight billion, eighty-six million, four hundred thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 3169 6338 12676 15845 25352 31690 63380 63793 126760 127586 255172 318965 510344 637930 1275860 2551720 202160017 404320034 808640068 1010800085 1617280136 2021600170 4043200340 8086400680