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16842240 = 293251743
BaseRepresentation
bin100000000111…
…1111000000000
31011200200012200
41000033320000
513302422430
61400553200
7263104512
oct100177000
934620180
1016842240
119563908
125782800
13364902c
142345bb2
15172a460
hex100fe00

16842240 has 240 divisors, whose sum is σ = 63196848. Its totient is φ = 4128768.

The previous prime is 16842193. The next prime is 16842253. The reversal of 16842240 is 4224861.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×168422402 = 567322096435200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391659 + ... + 391701.

Almost surely, 216842240 is an apocalyptic number.

16842240 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 16842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31598424).

16842240 is an abundant number, since it is smaller than the sum of its proper divisors (46354608).

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

16842240 is a wasteful number, since it uses less digits than its factorization.

16842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 16842240 is about 4103.9298239614. The cubic root of 16842240 is about 256.3303028117.

The spelling of 16842240 in words is "sixteen million, eight hundred forty-two thousand, two hundred forty".