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1325000080 = 24517395737
BaseRepresentation
bin100111011111001…
…1110010110010000
310102100012222102001
41032332132112100
510203200000310
6335251203344
744556212665
oct11676362620
93370188361
101325000080
1161aa23198
1230b8a6554
1318167c221
14c7d8ba6c
157b4cc93a
hex4ef9e590

1325000080 has 40 divisors (see below), whose sum is σ = 3098464632. Its totient is φ = 526930944.

The previous prime is 1325000071. The next prime is 1325000099. The reversal of 1325000080 is 800005231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 816587776 + 508412304 = 28576^2 + 22548^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34029 + ... + 61708.

Almost surely, 21325000080 is an apocalyptic number.

1325000080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1325000080 is an abundant number, since it is smaller than the sum of its proper divisors (1773464552).

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

1325000080 is a wasteful number, since it uses less digits than its factorization.

1325000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95923 (or 95917 counting only the distinct ones).

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

The square root of 1325000080 is about 36400.5505452871. The cubic root of 1325000080 is about 1098.3446396189.

The spelling of 1325000080 in words is "one billion, three hundred twenty-five million, eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 95737 191474 382948 478685 765896 957370 1531792 1914740 3829480 7658960 16562501 33125002 66250004 82812505 132500008 165625010 265000016 331250020 662500040 1325000080