Search a number
-
+
16808274 = 23272171959
BaseRepresentation
bin100000000011…
…1100101010010
31011121221121200
41000013211102
513300331044
61400132030
7262603500
oct100074522
934557550
1016808274
11954033a
125767016
133636732
142337670
151720369
hex1007952

16808274 has 144 divisors (see below), whose sum is σ = 48016800. Its totient is φ = 4209408.

The previous prime is 16808269. The next prime is 16808299. The reversal of 16808274 is 47280861.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 284857 + ... + 284915.

It is an arithmetic number, because the mean of its divisors is an integer number (333450).

Almost surely, 216808274 is an apocalyptic number.

16808274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16808274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24008400).

16808274 is an abundant number, since it is smaller than the sum of its proper divisors (31208526).

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

16808274 is a wasteful number, since it uses less digits than its factorization.

16808274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 16808274 is about 4099.7895067918. The cubic root of 16808274 is about 256.1578717795.

The spelling of 16808274 in words is "sixteen million, eight hundred eight thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 49 51 57 59 63 98 102 114 118 119 126 133 147 153 171 177 238 266 294 306 323 342 354 357 399 413 441 531 646 714 798 826 833 882 931 969 1003 1062 1071 1121 1197 1239 1666 1862 1938 2006 2142 2242 2261 2394 2478 2499 2793 2891 2907 3009 3363 3717 4522 4998 5586 5782 5814 6018 6726 6783 7021 7434 7497 7847 8379 8673 9027 10089 13566 14042 14994 15694 15827 16758 17346 18054 19057 20178 20349 21063 23541 26019 31654 38114 40698 42126 47082 47481 49147 52038 54929 57171 63189 70623 94962 98294 109858 114342 126378 133399 141246 142443 147441 164787 171513 266798 284886 294882 329574 343026 400197 442323 494361 800394 884646 933793 988722 1200591 1867586 2401182 2801379 5602758 8404137 16808274