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142296 = 23372112
BaseRepresentation
bin100010101111011000
321020012020
4202233120
514023141
63014440
71131600
oct425730
9236166
10142296
1197a00
126a420
134c9cb
1439c00
152c266
hex22bd8

142296 has 72 divisors (see below), whose sum is σ = 454860. Its totient is φ = 36960.

The previous prime is 142271. The next prime is 142297. The reversal of 142296 is 692241.

Multipling 142296 by its sum of digits (24), we get a square (3415104 = 18482).

142296 divided by its sum of digits (24) gives a square (5929 = 772).

Multipling 142296 by its product of digits (864), we get a square (122943744 = 110882).

Subtracting 142296 from its reverse (692241), we obtain a palindrome (549945).

142296 = 282 + 292 + ... + 762.

142296 is digitally balanced in base 2, because in such base 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 (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142296.

It is not an unprimeable number, because it can be changed into a prime (142297) by changing a digit.

142296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12931 + ... + 12941.

142296 is a Friedman number, since it can be written as 924^(2*1)/6, using all its digits and the basic arithmetic operations.

2142296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227430).

142296 is an abundant number, since it is smaller than the sum of its proper divisors (312564).

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

142296 is a wasteful number, since it uses less digits than its factorization.

142296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 23 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 142296 is about 377.2214203886. The cubic root of 142296 is about 52.2072596001.

The spelling of 142296 in words is "one hundred forty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 363 392 462 484 539 588 616 726 847 924 968 1078 1176 1452 1617 1694 1848 2156 2541 2904 3234 3388 4312 5082 5929 6468 6776 10164 11858 12936 17787 20328 23716 35574 47432 71148 142296