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144420 = 22352983
BaseRepresentation
bin100011010000100100
321100002220
4203100210
514110140
63032340
71141023
oct432044
9240086
10144420
1199561
126b6b0
1350973
143a8ba
152cbd0
hex23424

144420 has 48 divisors (see below), whose sum is σ = 423360. Its totient is φ = 36736.

The previous prime is 144413. The next prime is 144427. The reversal of 144420 is 24441.

144420 = T186 + T187 + ... + T193.

It is an interprime number because it is at equal distance from previous prime (144413) and next prime (144427).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 144420.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144420.

It is not an unprimeable number, because it can be changed into a prime (144427) by changing a digit.

144420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1699 + ... + 1781.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2144420 is an apocalyptic number.

144420 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 144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

144420 is an abundant number, since it is smaller than the sum of its proper divisors (278940).

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

144420 is a wasteful number, since it uses less digits than its factorization.

144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 144420 is about 380.0263148783. The cubic root of 144420 is about 52.4657372814.

Adding to 144420 its reverse (24441), we get a palindrome (168861).

The spelling of 144420 in words is "one hundred forty-four thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 83 87 116 145 166 174 249 290 332 348 415 435 498 580 830 870 996 1245 1660 1740 2407 2490 4814 4980 7221 9628 12035 14442 24070 28884 36105 48140 72210 144420