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80930000 = 24548093
BaseRepresentation
bin1001101001011…
…10010011010000
312122021200002102
410310232103100
5131204230000
612010335532
72001615344
oct464562320
9178250072
1080930000
11417569a8
122312a5a8
13139c7798
14aa69624
1571893d5
hex4d2e4d0

80930000 has 50 divisors (see below), whose sum is σ = 195963834. Its totient is φ = 32368000.

The previous prime is 80929997. The next prime is 80930009. The reversal of 80930000 is 3908.

It can be written as a sum of positive squares in 5 ways, for example, as 34199104 + 46730896 = 5848^2 + 6836^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80930009) 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, 5954 + ... + 14046.

Almost surely, 280930000 is an apocalyptic number.

80930000 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 80930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97981917).

80930000 is an abundant number, since it is smaller than the sum of its proper divisors (115033834).

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

80930000 is an equidigital number, since it uses as much as digits as its factorization.

80930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121 (or 8100 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 80930000 is about 8996.1102705558. The cubic root of 80930000 is about 432.5501963190.

Adding to 80930000 its reverse (3908), we get a palindrome (80933908).

The spelling of 80930000 in words is "eighty million, nine hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 8093 10000 16186 32372 40465 64744 80930 129488 161860 202325 323720 404650 647440 809300 1011625 1618600 2023250 3237200 4046500 5058125 8093000 10116250 16186000 20232500 40465000 80930000