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142245216 = 2532539319
BaseRepresentation
bin10000111101001…
…11110101100000
3100220122210202100
420132213311200
5242403321331
622040450400
73345031041
oct1036476540
9326583670
10142245216
1173325a33
123b779a00
1323615289
1414c6a8c8
15c74bae6
hex87a7d60

142245216 has 72 divisors (see below), whose sum is σ = 412186320. Its totient is φ = 46515456.

The previous prime is 142245211. The next prime is 142245223. The reversal of 142245216 is 612542241.

142245216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 142245216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142245211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10605 + ... + 19923.

It is an arithmetic number, because the mean of its divisors is an integer number (5724810).

Almost surely, 2142245216 is an apocalyptic number.

142245216 is a gapful number since it is divisible by the number (16) 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 142245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206093160).

142245216 is an abundant number, since it is smaller than the sum of its proper divisors (269941104).

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

142245216 is a wasteful number, since it uses less digits than its factorization.

142245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388 (or 9377 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 142245216 is about 11926.6598844773. The cubic root of 142245216 is about 522.0104811389.

Adding to 142245216 its reverse (612542241), we get a palindrome (754787457).

The spelling of 142245216 in words is "one hundred forty-two million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 9319 15264 18638 27957 37276 55914 74552 83871 111828 149104 167742 223656 298208 335484 447312 493907 670968 894624 987814 1341936 1481721 1975628 2683872 2963442 3951256 4445163 5926884 7902512 8890326 11853768 15805024 17780652 23707536 35561304 47415072 71122608 142245216