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142896 = 24313229
BaseRepresentation
bin100010111000110000
321021000110
4202320300
514033041
63021320
71133415
oct427060
9237013
10142896
11983a6
126a840
1350070
143a10c
152c516
hex22e30

142896 has 40 divisors (see below), whose sum is σ = 399280. Its totient is φ = 43776.

The previous prime is 142873. The next prime is 142897. The reversal of 142896 is 698241.

142896 is nontrivially palindromic in base 5.

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 142896.

It is not an unprimeable number, because it can be changed into a prime (142897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (9982).

2142896 is an apocalyptic number.

142896 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 142896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199640).

142896 is an abundant number, since it is smaller than the sum of its proper divisors (256384).

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

142896 is a wasteful number, since it uses less digits than its factorization.

142896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 142896 is about 378.0158726826. The cubic root of 142896 is about 52.2805351000.

The spelling of 142896 in words is "one hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 229 312 458 624 687 916 1374 1832 2748 2977 3664 5496 5954 8931 10992 11908 17862 23816 35724 47632 71448 142896