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16985133 = 341121733
BaseRepresentation
bin100000011001…
…0110000101101
31011221221020000
41000302300231
513322011013
61404014513
7264241224
oct100626055
934857200
1016985133
119651200
125831439
133699099
142381cbb
151757973
hex1032c2d

16985133 has 30 divisors (see below), whose sum is σ = 27905262. Its totient is φ = 10288080.

The previous prime is 16985113. The next prime is 16985141. The reversal of 16985133 is 33158961.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 14152644 + 2832489 = 3762^2 + 1683^2 .

It is not a de Polignac number, because 16985133 - 218 = 16722989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16985113) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8935 + ... + 10667.

Almost surely, 216985133 is an apocalyptic number.

It is an amenable number.

16985133 is a deficient number, since it is larger than the sum of its proper divisors (10920129).

16985133 is a wasteful number, since it uses less digits than its factorization.

16985133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1747 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 16985133 is about 4121.3023427067. The cubic root of 16985133 is about 257.0531818257.

Subtracting 16985133 from its reverse (33158961), we obtain a triangular number (16173828 = T5687).

The spelling of 16985133 in words is "sixteen million, nine hundred eighty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 1733 3267 5199 9801 15597 19063 46791 57189 140373 171567 209693 514701 629079 1544103 1887237 5661711 16985133