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16010442 = 2327283449
BaseRepresentation
bin111101000100…
…110011001010
31010010102012100
4331010303022
513044313232
61331054230
7253041450
oct75046312
933112170
1016010442
119045978
125441376
133417546
1421aa9d0
151613c7c
hexf44cca

16010442 has 48 divisors (see below), whose sum is σ = 39873600. Its totient is φ = 4548096.

The previous prime is 16010431. The next prime is 16010443. The reversal of 16010442 is 24401061.

16010442 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

16010442 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (16010443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35434 + ... + 35882.

It is an arithmetic number, because the mean of its divisors is an integer number (830700).

Almost surely, 216010442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16010442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19936800).

16010442 is an abundant number, since it is smaller than the sum of its proper divisors (23863158).

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

16010442 is a wasteful number, since it uses less digits than its factorization.

16010442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 16010442 is about 4001.3050371098. The cubic root of 16010442 is about 252.0390151233.

The spelling of 16010442 in words is "sixteen million, ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 283 449 566 849 898 1347 1698 1981 2547 2694 3143 3962 4041 5094 5943 6286 8082 9429 11886 17829 18858 28287 35658 56574 127067 254134 381201 762402 889469 1143603 1778938 2287206 2668407 5336814 8005221 16010442