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144387000 = 23325361263
BaseRepresentation
bin10001001101100…
…10101110111000
3101001200121201200
420212302232320
5243430341000
622154414200
73402161232
oct1046625670
9331617650
10144387000
11745590aa
1240431360
1323bb50c4
1415267252
15ca21500
hex89b2bb8

144387000 has 192 divisors, whose sum is σ = 497914560. Its totient is φ = 37728000.

The previous prime is 144386989. The next prime is 144387007. The reversal of 144387000 is 783441.

144387000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144387007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548869 + ... + 549131.

It is an arithmetic number, because the mean of its divisors is an integer number (2593305).

Almost surely, 2144387000 is an apocalyptic number.

144387000 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 144387000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248957280).

144387000 is an abundant number, since it is smaller than the sum of its proper divisors (353527560).

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

144387000 is a wasteful number, since it uses less digits than its factorization.

144387000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 144387000 is about 12016.1141805494. The cubic root of 144387000 is about 524.6174083304.

The spelling of 144387000 in words is "one hundred forty-four million, three hundred eighty-seven thousand".