Search a number
-
+
16985688 = 23343109151
BaseRepresentation
bin100000011001…
…0111001011000
31011221221222120
41000302321120
513322020223
61404021240
7264242646
oct100627130
934857876
1016985688
119651665
125831820
133699405
142382196
151757be3
hex1032e58

16985688 has 64 divisors (see below), whose sum is σ = 44140800. Its totient is φ = 5443200.

The previous prime is 16985663. The next prime is 16985699. The reversal of 16985688 is 88658961.

It is a self number, because there is not a number n which added to its sum of digits gives 16985688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112413 + ... + 112563.

It is an arithmetic number, because the mean of its divisors is an integer number (689700).

Almost surely, 216985688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16985688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22070400).

16985688 is an abundant number, since it is smaller than the sum of its proper divisors (27155112).

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

16985688 is a wasteful number, since it uses less digits than its factorization.

16985688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The square root of 16985688 is about 4121.3696752415. The cubic root of 16985688 is about 257.0559815872.

The spelling of 16985688 in words is "sixteen million, nine hundred eighty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 109 129 151 172 218 258 302 327 344 436 453 516 604 654 872 906 1032 1208 1308 1812 2616 3624 4687 6493 9374 12986 14061 16459 18748 19479 25972 28122 32918 37496 38958 49377 51944 56244 65836 77916 98754 112488 131672 155832 197508 395016 707737 1415474 2123211 2830948 4246422 5661896 8492844 16985688