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2831086080 = 293653741
BaseRepresentation
bin1010100010111110…
…1111001000000000
321022022012002000000
42220233233020000
521244224223310
61144532000000
7130104556164
oct25057571000
97268162000
102831086080
11122308a969
12670160000
133616c2684
141cbdd6ca4
1511882a4c0
hexa8bef200

2831086080 has 560 divisors, whose sum is σ = 10707299064. Its totient is φ = 716636160.

The previous prime is 2831086061. The next prime is 2831086081. The reversal of 2831086080 is 806801382.

It can be written as a sum of positive squares in 4 ways, for example, as 2136658176 + 694427904 = 46224^2 + 26352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831086081) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 69050860 + ... + 69050900.

Almost surely, 22831086080 is an apocalyptic number.

2831086080 is a gapful number since it is divisible by the number (20) 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 2831086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353649532).

2831086080 is an abundant number, since it is smaller than the sum of its proper divisors (7876212984).

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

2831086080 is an frugal number, since it uses more digits than its factorization.

2831086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2831086080 is about 53207.9512854987. The cubic root of 2831086080 is about 1414.6565827858.

The spelling of 2831086080 in words is "two billion, eight hundred thirty-one million, eighty-six thousand, eighty".