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142688 = 257313
BaseRepresentation
bin100010110101100000
321020201202
4202311200
514031223
63020332
71133000
oct426540
9236652
10142688
1198227
126a6a8
134cc40
143a000
152c428
hex22d60

142688 has 48 divisors (see below), whose sum is σ = 352800. Its totient is φ = 56448.

The previous prime is 142673. The next prime is 142697. The reversal of 142688 is 886241.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 142688.

It is a congruent number.

It is an unprimeable number.

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, 10970 + ... + 10982.

It is an arithmetic number, because the mean of its divisors is an integer number (7350).

2142688 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 142688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400).

142688 is an abundant number, since it is smaller than the sum of its proper divisors (210112).

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

142688 is an equidigital number, since it uses as much as digits as its factorization.

142688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 22 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 142688 is about 377.7406517705. The cubic root of 142688 is about 52.2551561954.

The spelling of 142688 in words is "one hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 343 364 392 416 637 686 728 784 1274 1372 1456 1568 2548 2744 2912 4459 5096 5488 8918 10192 10976 17836 20384 35672 71344 142688