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140768 = 255383
BaseRepresentation
bin100010010111100000
321011002122
4202113200
514001033
63003412
71124255
oct422740
9234078
10140768
1196841
1269568
134c0c4
143942c
152ba98
hex225e0

140768 has 24 divisors (see below), whose sum is σ = 285768. Its totient is φ = 68224.

The previous prime is 140761. The next prime is 140773. The reversal of 140768 is 867041.

140768 is nontrivially palindromic in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140761) by changing a digit.

140768 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 1655 + ... + 1737.

It is an arithmetic number, because the mean of its divisors is an integer number (11907).

2140768 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 140768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142884).

140768 is an abundant number, since it is smaller than the sum of its proper divisors (145000).

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

140768 is an equidigital number, since it uses as much as digits as its factorization.

140768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 140768 is about 375.1906182196. The cubic root of 140768 is about 52.0197163892.

The spelling of 140768 in words is "one hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 83 106 166 212 332 424 664 848 1328 1696 2656 4399 8798 17596 35192 70384 140768