Search a number
-
+
144389520 = 243351159103
BaseRepresentation
bin10001001101100…
…11010110010000
3101001200202012000
420212303112100
5243430431040
622154434000
73402201462
oct1046632620
9331622160
10144389520
117455aa90
1240432900
1323bb62b2
1415268132
15ca22130
hex89b3590

144389520 has 320 divisors, whose sum is σ = 557107200. Its totient is φ = 34076160.

The previous prime is 144389519. The next prime is 144389527. The reversal of 144389520 is 25983441.

144389520 is a `hidden beast` number, since 14 + 43 + 89 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144389527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1401789 + ... + 1401891.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2144389520 is an apocalyptic number.

144389520 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 144389520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278553600).

144389520 is an abundant number, since it is smaller than the sum of its proper divisors (412717680).

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

144389520 is a wasteful number, since it uses less digits than its factorization.

144389520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 144389520 is about 12016.2190392819. The cubic root of 144389520 is about 524.6204603784.

The spelling of 144389520 in words is "one hundred forty-four million, three hundred eighty-nine thousand, five hundred twenty".