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144540 = 223251173
BaseRepresentation
bin100011010010011100
321100021100
4203102130
514111130
63033100
71141254
oct432234
9240240
10144540
1199660
126b790
1350a36
143a964
152cc60
hex2349c

144540 has 72 divisors (see below), whose sum is σ = 484848. Its totient is φ = 34560.

The previous prime is 144539. The next prime is 144541. The reversal of 144540 is 45441.

144540 = T165 + T166 + ... + T174.

144540 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (144539) and next prime (144541).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1944 + ... + 2016.

It is an arithmetic number, because the mean of its divisors is an integer number (6734).

2144540 is an apocalyptic number.

144540 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 144540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242424).

144540 is an abundant number, since it is smaller than the sum of its proper divisors (340308).

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

144540 is a wasteful number, since it uses less digits than its factorization.

144540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 144540 is about 380.1841658986. The cubic root of 144540 is about 52.4802646911.

Adding to 144540 its reverse (45441), we get a palindrome (189981).

Subtracting from 144540 its reverse (45441), we obtain a palindrome (99099).

It can be divided in two parts, 1445 and 40, that added together give a triangular number (1485 = T54).

The spelling of 144540 in words is "one hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 73 90 99 110 132 146 165 180 198 219 220 292 330 365 396 438 495 657 660 730 803 876 990 1095 1314 1460 1606 1980 2190 2409 2628 3212 3285 4015 4380 4818 6570 7227 8030 9636 12045 13140 14454 16060 24090 28908 36135 48180 72270 144540