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144640 = 285113
BaseRepresentation
bin100011010100000000
321100102001
4203110000
514112030
63033344
71141456
oct432400
9240361
10144640
1199741
126b854
1350ab2
143a9d6
152ccca
hex23500

144640 has 36 divisors (see below), whose sum is σ = 349524. Its totient is φ = 57344.

The previous prime is 144629. The next prime is 144659. The reversal of 144640 is 46441.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 123904 = 144^2 + 352^2 .

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

144640 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1224 + ... + 1336.

It is an arithmetic number, because the mean of its divisors is an integer number (9709).

2144640 is an apocalyptic number.

144640 is a gapful number since it is divisible by the number (10) 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 144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174762).

144640 is an abundant number, since it is smaller than the sum of its proper divisors (204884).

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

144640 is an equidigital number, since it uses as much as digits as its factorization.

144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 144640 is about 380.3156583682. The cubic root of 144640 is about 52.4923647248.

It can be divided in two parts, 144 and 640, that added together give a square (784 = 282).

The spelling of 144640 in words is "one hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 565 640 904 1130 1280 1808 2260 3616 4520 7232 9040 14464 18080 28928 36160 72320 144640