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144020 = 22519379
BaseRepresentation
bin100011001010010100
321022120002
4203022110
514102040
63030432
71136612
oct431224
9238502
10144020
1199228
126b418
1350726
143a6b2
152ca15
hex23294

144020 has 24 divisors (see below), whose sum is σ = 319200. Its totient is φ = 54432.

The previous prime is 144013. The next prime is 144031. The reversal of 144020 is 20441.

It is a junction number, because it is equal to n+sod(n) for n = 143992 and 144010.

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 144020.

It is an unprimeable number.

144020 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, 191 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (13300).

2144020 is an apocalyptic number.

144020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 379×380.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159600).

144020 is an abundant number, since it is smaller than the sum of its proper divisors (175180).

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

144020 is a wasteful number, since it uses less digits than its factorization.

144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 144020 is about 379.4996706191. The cubic root of 144020 is about 52.4172543842.

Adding to 144020 its reverse (20441), we get a palindrome (164461).

It can be divided in two parts, 14 and 4020, that multiplied together give a triangular number (56280 = T335).

The spelling of 144020 in words is "one hundred forty-four thousand, twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 19 20 38 76 95 190 379 380 758 1516 1895 3790 7201 7580 14402 28804 36005 72010 144020