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16985440 = 255532003
BaseRepresentation
bin100000011001…
…0110101100000
31011221221122101
41000302311200
513322013230
61404020144
7264242143
oct100626540
934857571
1016985440
11965145a
125831654
133699274
14238205a
151757aca
hex1032d60

16985440 has 48 divisors (see below), whose sum is σ = 40905648. Its totient is φ = 6662656.

The previous prime is 16985429. The next prime is 16985443. The reversal of 16985440 is 4458961.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16985440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16985443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7479 + ... + 9481.

It is an arithmetic number, because the mean of its divisors is an integer number (852201).

Almost surely, 216985440 is an apocalyptic number.

16985440 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 16985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20452824).

16985440 is an abundant number, since it is smaller than the sum of its proper divisors (23920208).

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

16985440 is a wasteful number, since it uses less digits than its factorization.

16985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 16985440 is about 4121.3395880466. The cubic root of 16985440 is about 257.0547305302.

The spelling of 16985440 in words is "sixteen million, nine hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2003 2120 4006 4240 8012 8480 10015 16024 20030 32048 40060 64096 80120 106159 160240 212318 320480 424636 530795 849272 1061590 1698544 2123180 3397088 4246360 8492720 16985440