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1006216014 = 23414090309
BaseRepresentation
bin111011111110011…
…010001101001110
32121010101001212210
4323332122031032
54030042403024
6243502411250
733635460246
oct7376321516
92533331783
101006216014
11476a89a91
12240b90b26
131306055bb
14978c8b26
155d50d129
hex3bf9a34e

1006216014 has 16 divisors (see below), whose sum is σ = 2061516240. Its totient is φ = 327224640.

The previous prime is 1006215989. The next prime is 1006216033. The reversal of 1006216014 is 4106126001.

It is a super-3 number, since 3×10062160143 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2044909 + ... + 2045400.

It is an arithmetic number, because the mean of its divisors is an integer number (128844765).

Almost surely, 21006216014 is an apocalyptic number.

1006216014 is an abundant number, since it is smaller than the sum of its proper divisors (1055300226).

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

1006216014 is a wasteful number, since it uses less digits than its factorization.

1006216014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090355.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1006216014 is about 31720.9081521951. The cubic root of 1006216014 is about 1002.0677262281.

The spelling of 1006216014 in words is "one billion, six million, two hundred sixteen thousand, fourteen".

Divisors: 1 2 3 6 41 82 123 246 4090309 8180618 12270927 24541854 167702669 335405338 503108007 1006216014