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16672005 = 325727561
BaseRepresentation
bin111111100110…
…010100000101
31011101000200200
4333212110011
513232001010
61353201113
7261465300
oct77462405
934330620
1016672005
119457a19
125700199
1335b96bc
1422ddb37
1516e4cc0
hexfe6505

16672005 has 36 divisors (see below), whose sum is σ = 33620652. Its totient is φ = 7620480.

The previous prime is 16672001. The next prime is 16672009. The reversal of 16672005 is 50027661.

It is an interprime number because it is at equal distance from previous prime (16672001) and next prime (16672009).

It can be written as a sum of positive squares in 2 ways, for example, as 4955076 + 11716929 = 2226^2 + 3423^2 .

It is not a de Polignac number, because 16672005 - 22 = 16672001 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16672005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16672001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1576 + ... + 5985.

It is an arithmetic number, because the mean of its divisors is an integer number (933907).

Almost surely, 216672005 is an apocalyptic number.

16672005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16672005 is an abundant number, since it is smaller than the sum of its proper divisors (16948647).

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

16672005 is a wasteful number, since it uses less digits than its factorization.

16672005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 16672005 is about 4083.1366619304. The cubic root of 16672005 is about 255.4637466545.

Adding to 16672005 its reverse (50027661), we get a palindrome (66699666).

The spelling of 16672005 in words is "sixteen million, six hundred seventy-two thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 7561 22683 37805 52927 68049 113415 158781 264635 340245 370489 476343 793905 1111467 1852445 2381715 3334401 5557335 16672005