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144320 = 2651141
BaseRepresentation
bin100011001111000000
321022222012
4203033000
514104240
63032052
71140521
oct431700
9238865
10144320
1199480
126b628
13508c7
143a848
152cb65
hex233c0

144320 has 56 divisors (see below), whose sum is σ = 384048. Its totient is φ = 51200.

The previous prime is 144311. The next prime is 144323. The reversal of 144320 is 23441.

144320 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 144295 and 144304.

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 144320.

It is not an unprimeable number, because it can be changed into a prime (144323) by changing a digit.

144320 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 7 ways as a sum of consecutive naturals, for example, 3500 + ... + 3540.

It is an arithmetic number, because the mean of its divisors is an integer number (6858).

2144320 is an apocalyptic number.

144320 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 144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024).

144320 is an abundant number, since it is smaller than the sum of its proper divisors (239728).

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

144320 is a wasteful number, since it uses less digits than its factorization.

144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 144320 is about 379.8947222587. The cubic root of 144320 is about 52.4536249582.

Adding to 144320 its reverse (23441), we get a palindrome (167761).

It can be divided in two parts, 144 and 320, that added together give a palindrome (464).

The spelling of 144320 in words is "one hundred forty-four thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 160 164 176 205 220 320 328 352 410 440 451 656 704 820 880 902 1312 1640 1760 1804 2255 2624 3280 3520 3608 4510 6560 7216 9020 13120 14432 18040 28864 36080 72160 144320