Search a number
-
+
144240 = 2435601
BaseRepresentation
bin100011001101110000
321022212020
4203031300
514103430
63031440
71140345
oct431560
9238766
10144240
1199408
126b580
1350865
143a7cc
152cb10
hex23370

144240 has 40 divisors (see below), whose sum is σ = 447888. Its totient is φ = 38400.

The previous prime is 144223. The next prime is 144241. The reversal of 144240 is 42441.

144240 = 512 + 522 + ... + 822.

It is a tau number, because it is divible by the number of its divisors (40).

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

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 144240.

It is not an unprimeable number, because it can be changed into a prime (144241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 540.

2144240 is an apocalyptic number.

144240 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 144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223944).

144240 is an abundant number, since it is smaller than the sum of its proper divisors (303648).

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

144240 is a wasteful number, since it uses less digits than its factorization.

144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

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

The square root of 144240 is about 379.7894153343. The cubic root of 144240 is about 52.4439310705.

Adding to 144240 its reverse (42441), we get a palindrome (186681).

The spelling of 144240 in words is "one hundred forty-four thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 601 1202 1803 2404 3005 3606 4808 6010 7212 9015 9616 12020 14424 18030 24040 28848 36060 48080 72120 144240