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16984140 = 22352943227
BaseRepresentation
bin100000011001…
…0100001001100
31011221212212020
41000302201030
513321443030
61404010140
7264235305
oct100624114
934855766
1016984140
119650488
125830950
1336987b4
1423817ac
151757510
hex103284c

16984140 has 96 divisors (see below), whose sum is σ = 50561280. Its totient is φ = 4252416.

The previous prime is 16984133. The next prime is 16984141. The reversal of 16984140 is 4148961.

It is a super-2 number, since 2×169841402 = 576922023079200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16984141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74707 + ... + 74933.

It is an arithmetic number, because the mean of its divisors is an integer number (526680).

Almost surely, 216984140 is an apocalyptic number.

16984140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16984140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280640).

16984140 is an abundant number, since it is smaller than the sum of its proper divisors (33577140).

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

16984140 is a wasteful number, since it uses less digits than its factorization.

16984140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 16984140 is about 4121.1818693186. The cubic root of 16984140 is about 257.0481723706.

The spelling of 16984140 in words is "sixteen million, nine hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 43 58 60 86 87 116 129 145 172 174 215 227 258 290 348 430 435 454 516 580 645 681 860 870 908 1135 1247 1290 1362 1740 2270 2494 2580 2724 3405 3741 4540 4988 6235 6583 6810 7482 9761 12470 13166 13620 14964 18705 19522 19749 24940 26332 29283 32915 37410 39044 39498 48805 58566 65830 74820 78996 97610 98745 117132 131660 146415 195220 197490 283069 292830 394980 566138 585660 849207 1132276 1415345 1698414 2830690 3396828 4246035 5661380 8492070 16984140