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144204000 = 2535361197
BaseRepresentation
bin10001001100001…
…10000011100000
3101001100022200220
420212012003200
5243404012000
622150443040
73400466553
oct1046060340
9331308626
10144204000
1174443666
1240363480
1323b4ca15
141521a69a
15c9d71a0
hex89860e0

144204000 has 192 divisors, whose sum is σ = 482594112. Its totient is φ = 37632000.

The previous prime is 144203987. The next prime is 144204001. The reversal of 144204000 is 402441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144204001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731902 + ... + 732098.

It is an arithmetic number, because the mean of its divisors is an integer number (2513511).

Almost surely, 2144204000 is an apocalyptic number.

144204000 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 144204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056).

144204000 is an abundant number, since it is smaller than the sum of its proper divisors (338390112).

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

144204000 is a wasteful number, since it uses less digits than its factorization.

144204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

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

The square root of 144204000 is about 12008.4969917138. The cubic root of 144204000 is about 524.3956765169.

Adding to 144204000 its reverse (402441), we get a palindrome (144606441).

The spelling of 144204000 in words is "one hundred forty-four million, two hundred four thousand".