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144040 = 23513277
BaseRepresentation
bin100011001010101000
321022120211
4203022220
514102130
63030504
71136641
oct431250
9238524
10144040
1199246
126b434
1350740
143a6c8
152ca2a
hex232a8

144040 has 32 divisors (see below), whose sum is σ = 350280. Its totient is φ = 52992.

The previous prime is 144037. The next prime is 144061. The reversal of 144040 is 40441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64516 + 79524 = 254^2 + 282^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 144040.

It is a congruent number.

It is an unprimeable 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, 382 + ... + 658.

2144040 is an apocalyptic number.

144040 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 144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175140).

144040 is an abundant number, since it is smaller than the sum of its proper divisors (206240).

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

144040 is a wasteful number, since it uses less digits than its factorization.

144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 144040 is about 379.5260201883. The cubic root of 144040 is about 52.4196806597.

Adding to 144040 its reverse (40441), we get a palindrome (184481).

It can be divided in two parts, 1440 and 40, that multiplied together give a square (57600 = 2402).

The spelling of 144040 in words is "one hundred forty-four thousand, forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 277 520 554 1108 1385 2216 2770 3601 5540 7202 11080 14404 18005 28808 36010 72020 144040