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16992240 = 2435101701
BaseRepresentation
bin100000011010…
…0011111110000
31011222021222020
41000310133300
513322222430
61404111440
7264301026
oct100643760
934867866
1016992240
119656581
125835580
13369c3a5
142384716
151759b10
hex10347f0

16992240 has 80 divisors (see below), whose sum is σ = 53273376. Its totient is φ = 4480000.

The previous prime is 16992229. The next prime is 16992253. The reversal of 16992240 is 4229961.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23890 + ... + 24590.

Almost surely, 216992240 is an apocalyptic number.

16992240 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 16992240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26636688).

16992240 is an abundant number, since it is smaller than the sum of its proper divisors (36281136).

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

16992240 is a wasteful number, since it uses less digits than its factorization.

16992240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 16992240 is about 4122.1644799789. The cubic root of 16992240 is about 257.0890292973.

The spelling of 16992240 in words is "sixteen million, nine hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 701 808 1010 1212 1402 1515 1616 2020 2103 2424 2804 3030 3505 4040 4206 4848 5608 6060 7010 8080 8412 10515 11216 12120 14020 16824 21030 24240 28040 33648 42060 56080 70801 84120 141602 168240 212403 283204 354005 424806 566408 708010 849612 1062015 1132816 1416020 1699224 2124030 2832040 3398448 4248060 5664080 8496120 16992240