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1001005520 = 24512512569
BaseRepresentation
bin111011101010100…
…010000111010000
32120202120100102112
4323222202013100
54022224134040
6243155004452
733543256304
oct7352420720
92522510375
101001005520
11474050299
1223b299728
1312c4cca78
1496d2dd04
155cd2e365
hex3baa21d0

1001005520 has 20 divisors (see below), whose sum is σ = 2327338020. Its totient is φ = 400402176.

The previous prime is 1001005459. The next prime is 1001005549. The reversal of 1001005520 is 255001001.

It can be written as a sum of positive squares in 2 ways, for example, as 442345024 + 558660496 = 21032^2 + 23636^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1001005495 and 1001005504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6256205 + ... + 6256364.

It is an arithmetic number, because the mean of its divisors is an integer number (116366901).

Almost surely, 21001005520 is an apocalyptic number.

1001005520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001005520 is an abundant number, since it is smaller than the sum of its proper divisors (1326332500).

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

1001005520 is a wasteful number, since it uses less digits than its factorization.

1001005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12512582 (or 12512576 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 1001005520 is about 31638.6712742492. The cubic root of 1001005520 is about 1000.3350610549.

Adding to 1001005520 its reverse (255001001), we get a palindrome (1256006521).

The spelling of 1001005520 in words is "one billion, one million, five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12512569 25025138 50050276 62562845 100100552 125125690 200201104 250251380 500502760 1001005520