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16814142 = 235291193
BaseRepresentation
bin100000000100…
…1000000111110
31011122020200000
41000021000332
513301023032
61400215130
7262626552
oct100110076
934566600
1016814142
119544794
12576a4a6
1336392c7
142339862
151721e7c
hex100903e

16814142 has 48 divisors (see below), whose sum is σ = 39115440. Its totient is φ = 5406912.

The previous prime is 16814131. The next prime is 16814143. The reversal of 16814142 is 24141861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16814143) 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, 13498 + ... + 14690.

It is an arithmetic number, because the mean of its divisors is an integer number (814905).

Almost surely, 216814142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16814142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19557720).

16814142 is an abundant number, since it is smaller than the sum of its proper divisors (22301298).

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

16814142 is a wasteful number, since it uses less digits than its factorization.

16814142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1227 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 16814142 is about 4100.5050908394. The cubic root of 16814142 is about 256.1876777251.

The spelling of 16814142 in words is "sixteen million, eight hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1193 1566 2349 2386 3579 4698 7047 7158 10737 14094 21474 32211 34597 64422 69194 96633 103791 193266 207582 289899 311373 579798 622746 934119 1868238 2802357 5604714 8407071 16814142