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80506000 = 245340253
BaseRepresentation
bin1001100110001…
…10110010010000
312121111010110201
410303012302100
5131102143000
611553304544
71665201241
oct463066220
9177433421
1080506000
1141497393
1222b65154
13138a97b3
14a998cc8
15710396a
hex4cc6c90

80506000 has 40 divisors (see below), whose sum is σ = 194668344. Its totient is φ = 32201600.

The previous prime is 80505973. The next prime is 80506007. The reversal of 80506000 is 60508.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 80496784 = 96^2 + 8972^2 .

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

It is not an unprimeable number, because it can be changed into a prime (80506007) 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, 18127 + ... + 22126.

Almost surely, 280506000 is an apocalyptic number.

80506000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80506000 is an abundant number, since it is smaller than the sum of its proper divisors (114162344).

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

80506000 is a wasteful number, since it uses less digits than its factorization.

80506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40276 (or 40260 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 80506000 is about 8972.5135831605. The cubic root of 80506000 is about 431.7934826803.

Adding to 80506000 its reverse (60508), we get a palindrome (80566508).

The spelling of 80506000 in words is "eighty million, five hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 40253 80506 161012 201265 322024 402530 644048 805060 1006325 1610120 2012650 3220240 4025300 5031625 8050600 10063250 16101200 20126500 40253000 80506000