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1001006055 = 3257364853
BaseRepresentation
bin111011101010100…
…010001111100111
32120202120101011100
4323222202033213
54022224143210
6243155011143
733543261000
oct7352421747
92522511140
101001006055
11474050735
1223b299ab3
1312c50009a
1496d301a7
155cd2e5c0
hex3baa23e7

1001006055 has 48 divisors (see below), whose sum is σ = 2023444800. Its totient is φ = 457595712.

The previous prime is 1001006033. The next prime is 1001006099. The reversal of 1001006055 is 5506001001.

It is not a de Polignac number, because 1001006055 - 26 = 1001005991 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16992 + ... + 47861.

It is an arithmetic number, because the mean of its divisors is an integer number (42155100).

Almost surely, 21001006055 is an apocalyptic number.

1001006055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1001006055 is an abundant number, since it is smaller than the sum of its proper divisors (1022438745).

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

1001006055 is an equidigital number, since it uses as much as digits as its factorization.

1001006055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64885 (or 64868 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1001006055 is about 31638.6797290911. The cubic root of 1001006055 is about 1000.3352392687.

Adding to 1001006055 its reverse (5506001001), we get a palindrome (6507007056).

The spelling of 1001006055 in words is "one billion, one million, six thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 343 441 735 1029 1715 2205 3087 5145 15435 64853 194559 324265 453971 583677 972795 1361913 2269855 2918385 3177797 4085739 6809565 9533391 15888985 20428695 22244579 28600173 47666955 66733737 111222895 143000865 200201211 333668685 1001006055